Professor Ph.D. (Dalhousie University, Canada)

+91 (0)361 258 2604 swaroop ◊ iitg ⋅ ac ⋅ in

**Research Area: **Water Wave Mechanics, River Mechanics, Sloshing Dynamics, Flow through Porous Media, Differential Equation, Fractional Differential Equation.

Room No: E-306

Personal Website | IRINS Profile

**Department Responsibilities:**

Alumni Matters & External Relations, Convener

Wave-structure interactions, scattering and trapping of water waves, flows in porous media, sloshing, river mechanics, theoretical aspects of fractional differential equations.

PhD: Department of Engineering Mathematics, Technical University of Nova Scotia (now called DalTech, Dalhousie University), Halifax, Nova Scotia, Canada. (1997, degree conferred in May 1998)

Thesis Supervisor: Prof Matiur Rahman.

Thesis Title: Interaction of Water Waves with Submerged Spheres and Circular Cylinders.

M.Sc.: Applied Mathematics, University of Delhi. 1st Class: 1991.

Specialization: Integral Equations and Boundary Value Problems, Space Dynamics.

B.Sc.: Mathematics (Honours), Cotton College, Gauhati University, Assam, India. 1st Class with distinction: 1988-89.

Specialization: Applied Mathematics. Subsidiary Subjects: Statistics, Physics.

Pre-University (Science) (+2): Cotton College, Gauhati University, Assam, India. 1st Division (87%): 1985.

Letter Marks (Distinction) in Mathematics and Advanced Mathematics.

High School Leaving Certificate Examination (Under Board of Secondary Education, Assam): Balya Bhavan High School, Jorhat, Assam, India. 1st Division (81%): (1983).

- Convener, IITG Mathematics Seminar Series: 1999-2002, 2003-2006
- Secretary, Department Postgraduate Programme Committee, 2006-2008
- Faculty-in-Charge, NBHM Regional Library, 2008-2010.
- Convener, Course Allocation Committee, 2012-2014.
- Convener, Department Student Welfare Committee, 2014-2015
- Head, Department of Mathematics, April 1, 2015- April 1, 2018

Administrative Responsibilities:

Institute Level:

Major:

1. Warden, IIT Guwahati Boys� Hostel 8: July 1999-June 2000.

2. Faculty Advisor (Culture), IITG Students� Gymkhana Council: November 1999-October2000.

3. Coordinator, Preparatory Programme, 2006-2007.

4. Vice President, IIT Club, 2007-2008.

5. Vice Chairman, DRDO SET 2009.

6. Member, Student Disciplinary Committee (Institute Level), July 2012-June 2015

7. Chairman, Library Committee (Institute), June 2014-May 2015

8. Chairman, Library Advisory Committee (Institute), May 2015-May 2017

9. Head, Department of Mathematics, April 1, 2015- April 1, 2018

10. Dean, Students' Affairs, April 9, 2018- September 30, 2019

11. Organizing Chairman, Inter IIT Sports Meet 2018

Minor:

Member, Reception Committee, IITG Convocation: 1999 and 2000

Convener, Invitation and Dispatch Subcommittee, IITG Convocation, 2002.

Member, Reception and Volunteer Committee, IITG Convocation, 2005.

Member, Invitation and Dispatch Committee, IITG Convocation, 2006.

Convener, Food Committee, Inter IIT Sports Meet 2006.

Member, Laboratory Equipment Verification Committee, IITG, 2002.

Member, IITG Placement Committee, 2001-2002.

Convener, Media Subcommittee, 15th IITG Convocation, 2013.

Convener, Food Committee, Inter IIT Sports Meet 2013.

Convener, Invitation Committee, 16th Convocation, 2014.

Convener, Marshal Committee, 17th Convocation, 2015.

Convener, Media Subcommittee, 20th IITG Convocation, 2018.

Convener, Media Subcommittee, 21st IITG Convocation, 2019.

Department Level:

Convener, IITG Mathematics Seminar Series: 1999-2002, 2003-2006

Secretary, Department Postgraduate Programme Committee, 2006-2008

Faculty-in-Charge, NBHM Regional Library, 2008-2010.

Convener, Course Allocation Committee, 2012-2014.

Convener, Department Student Welfare Committee, 2014-2015

Head, Department of Mathematics, April 1, 2015- April 1, 2018

External:

1. Member, Syllabus Committee, Department of Mathematical Science, Institute of Science and Technology, Gauhati University, June 2011-

2. Member, Research Council, Department of Mathematical Science, Institute of Science and Technology, Gauhati University, June 2011-

3. Member, Board of Studies (Mathematics), National Institute of Technology Mizoram, May 2013-

4. Member, Board of Studies (Mathematics), Mizoram University, December 2015-

MA-201 (Mathematics III, B.Tech, July-November, 2020) with Dr. Bhupen Deka, Dr. Jitendriya Swain and Dr. Pratyoosh Kumar

MA-663 (Fractional Calculus and Fractional Differential Equations, M.Sc. 4th Semester, Jan-May 2020)

MA-762 (Potential flow of fluid and water-wave theory, PhD, Jul-Nov, 2019)

MA 575 (Mathematical Methods, M.Sc. 3rd Semester/B.Tech. 7th Semester, Jul-Nov, 2019)

MA-663 (Fractional Calculus and Fractional Differential Equations, M.Sc. 4th Semester, Jan-May 2019)

MA-201 (Mathematics III, B.Tech, July-November, 2018) with Dr. Bhupen Deka, Dr. Jitendriya Swain and Dr. Pratyoosh Kumar

MA-762 (Potential flow of fluid and water-wave theory, PhD, Jan-May, 2018)

MA 575 (Mathematical Methods, M.Sc. 3rd Semester/B.Tech. 7th Semester, July-November, 2017)

MA-762 (Potential flow of fluid and water-wave theory, PhD, Jan-May, 2017)

MA 662 (Differential Equations, PhD, Jan-May, 2017)

MA 575 (Mathematical Methods, M.Sc. 3rd Semester/B.Tech. 7th Semester, July-November, 2016) with Prof. DC Dalal

MA-201 (Mathematics III, B.Tech, July-November, 2016) with Dr. Bhupen Deka, Dr. Jitendriya Swain and Dr. Pratyoosh Kumar

MA 542 (Differential Equations, M.Sc. 2nd Semester, January-May, 2016)

MA 575 (Mathematical Methods, M.Sc. 3rd Semester/B.Tech. 7th Semester, July-November, 2015)

MA 662 (Differential Equations, PhD, Jan-May, 2015)

MA-661 (Integral Transforms and Integral Equations, M.Sc. 3rd Semester, July-November, 2014)

MA-201 (Mathematics III, B.Tech, July-November, 2014) with Dr. Rajen K Sinha, Dr. Jitendriya Swain and Dr. Pratyoosh Kumar

MA 542 (Differential Equations, M.Sc. 2nd Semester, January-May, 2014)

MA-751 (Differential equations and Boundary Value Problems, PhD, July-November, 2013) with Prof. DC Dalal

MA-661 (Integral Transforms and Integral Equations, M.Sc. 3rd Semester, July-November, 2013)

MA-575 (Mathematical Methods, M.Sc. 4th Semester/B.Tech. 8th Semester, January-April, 2013)

MA-201 (Mathematics III, B.Tech, July-November, 2012) with Dr. Sukanta Pati

MA 542 (Differential Equations, M.Sc. 2nd Semester, January-April, 2012)

MA-575 (Mathematical Methods, M.Sc. 3rd Semester/B.Tech. 7th Semester, July-November, 2011)

MA-762 (Potential flow of fluid and water-wave theory, PhD, Jan-May, 2011)

MA-227 (Scientific Computing, B. Tech. 4th Semeter, January-May, 2011)

MA-001 (Preparatory Mathematics I, Preparatory 1st semester students, August-November, 2010)

MA-575 (Mathematical Methods, M.Sc. 4th Semester/B.Tech. 6th Semester, January-April, 2010)

MA-762 (Potential flow of fluid and water-wave theory, PhD, Jan-May, 2010)

MA-201 (Mathematics III, B.Tech, July-November, 2009) with Dr. Sriparna Bandopadhyay

MA-575 (Mathematical Methods, M.Sc. 4th Semester/B.Tech. 6th Semester, January-April, 2009)

MA-572 (Numerical Analysis, M.Sc., July-November, 2008)

MA-582 (Numerical Analysis Lab, M.Sc., July-November, 2008)

MA-542 (Differential Equations, M.Sc., January-May, 2008)

MA-201 (Mathematics III, B.Tech, July-November, 2007)

MA-542 (Differential Equations, M.Sc., January-May, 2007)

MA-572 (Numerical Analysis, M.Sc., July-Nov, 2006)

MA-582 (Numerical Analysis Lab, M.Sc., July-Nov, 2006)

MA-762 (Potential flow of fluid and water-wave theory, PhD, Jan-May, 2006)

MA-561 (Fluid Dynamics, M.Sc. 3rd Semester, July-November, 2005)

MA-575 (Mathematical Methods, M.Sc. 4th Semester, January-April, 2005)

MA-201 (Mathematics III, B.Tech 3rd Semester, July-November, 2004)

MA-575 (Mathematical Methods, M.Sc. 4th Semester, January-April, 2004)

MA-561 (Fluid Dynamics, M.Sc. 3rd Semester, July-November, 2003)

MA-102 (Mathematics II, B.Tech 2nd Semester, January-April, 2003)

MA-765 (Wave-structure interaction, PhD, January-April, 2003)

MA-561 (Fluid Dynamics, M.Sc. 3rd Semester, July-November, 2002)

MA-762 (Potential flow of fluid and water-wave theory, PhD, July-November, 2002)

MA-102 (Mathematics II, Summer course, May-July, 2002)

MA-577 (Perturbation Methods, M.Sc. 4th Semester, January-April, 2002)

MA-571 (Scientific Computing, M.Sc. 2nd Semester, January-April, 2002)

MA-575 (Mathematical Methods, M.Sc. 3rd Semester, July-November, 2001)

MA-542 (Differential Equations, M.Sc. 1st Semester, July-November, 2001)

MA-592 (Probability, Statistical Inferences, M.Sc. 2nd Semester, January-April, 2001)

MA-203 (Probability and Statistics, B.Tech. 4th Semester, January-April, 2001)

MA-551 (Scientific Computing, M.Sc. 2nd Semester, January-April, 2001)

MA-542 (Differential Equations, M.Sc. 1st Semester, July-November, 2000)

MA-201 (Mathematics III, B.Tech. 3rd Semester, July-November, 2000) with Dr. MGPP Prasad

MA-203 (Probability and Statistics, B.Tech. 4th Semester, January-April, 2000)

MA-201 (Mathematics III, B.Tech. 3rd Semester, July-November, 1999) with Dr MGPP Prasad

MA-501 (Advanced Engineering Mathematics, M.Tech., July-November, 1999) with Dr RK Sinha

MA-203 (Probability and Statistics, B.Tech. 4th Semester, January-April, 1999) with Dr M Bhattacharjee

MA-102 (Mathematics II, B.Tech 2nd Semester, January-April, 1999) with Dr M Bhattacharjee and Dr DC Dalal

82. **S. Khuntia, S. Mohapatra and S.N. Bora**, "Analytical study of wave diffraction by an irregular surface located on a flexible base in an ice-covered fluid doi:10.1007/s11012-020-01287-y", Meccanica , vol.56 ,pp.335-350, [2021]

81. **J. Borah and S.N. Bora**, "Existence results for non-instantaneous impulsive fractional functional differential equations with infinite delay doi:10.7153/fdc-2021-11-03", Fractional Differential Calculus , vol.11(1) ,pp.35-53, [2021]

80. **A. Chanda and S.N. Bora**, "Investigation of water wave scattering by an elastic sea-bed of varying depth in two superposed fluids covered by an ice-sheet doi:10.1016/j.oceaneng.2020.108510", Ocean Engineering , vol.221 ,pp.Paper ID 108510 (Published online since January 21, 2021) 18 Pages [2021]

79. **J. Borah and S.N. Bora**, "Non-Instantaneous Impulsive Fractional Semilinear Evolution Equation with Finite Delay", Journal of Fractional Calculus and Applications , vol.12(1) ,pp.120-132, [2021]

78. **B. Roy and S.N. Bora**, "On mild solutions of Volterra fractional differential equations of Sobolev type with finite delay", Journal of Fractional Calculus and Applications , vol.12(2) ,pp.94-113, [2021]

77. **A. Sarkar and S.N. Bora**, "Hydrodynamic force and wave run-up due to diffraction of ocean water waves by a surface-piercing bottom-mounted compound partial-porous cylinder doi:10.1088/1873-7005/abdb3d", Fluid Dynamics Research , vol.53 ,pp.015508 (Published online since February 10, 2021) 19 pages [2021]

76. **K.K. Barman and S.N. Bora**, "Scattering and trapping of water waves by a composite breakwater placed on an elevated bottom in a two-layer fluid flowing over a porous sea-bed doi:10.1016/j.apor.2021.102544", Applied Ocean Research , vol.113 ,pp.102544 (Published online since April 21, 2021) 18 pages [2021]

75. **B. Roy and S.N. Bora**, "On existence and uniqueness of integral solutions for a class of nondensely defined mixed Volterra-Fredholm integro fractional neutral differential equations", Journal of Nonlinear Evolution Equations and Applications , vol.2021(3) ,pp.41-62, [2021]

74. **A. Sarkar and S.N. Bora**, "Exciting force for a coaxial configuration of a floating porous cylinder and a submerged bottom-mounted rigid cylinder in finite ocean depth doi:10.1007/s00419-021-01972-8", Archive of Applied Mechanics , vol.91(7) ,pp.3383-3401, [2021]

73. **B. Roy and S.N. Bora**, "On existence of integral solutions for a class of mixed Volterra-Fredholm integro fractional differential equations doi:10.1007/978-981-16-8177-6_6", Mathematical Analysis and Applications, Springer Proceedings in Mathematics & Statistics , vol.381 (Accepted on April 13, 2021) ,pp.14 Pages (In Press) [2021]

72. **U. Vinod Kumar, T. Deepika, S. Saha and S.N. Bora**, "Scattering of gravity waves by a rectangular floating flexible porous plate", Journal of Advanced Research in Applied Mathematics and Statistics , vol.6 ,pp.4-11, [2021]

71. **N. Choudhary, S.N. Bora and E. Strelnikova**, "N. Choudhary, S.N. Bora and E. Strelnikova", Journal of Vibration Engineering and Technologies , vol.(Accepted on May 4, 2021) ,pp.(Published online since June 4, 2021) 13 pages [2021]

70. **A. Chanda and S.N. Bora**, "Scattering of flexural gravity waves by a pair of submerged vertical porous barriers over a porous sea-bed doi:10.1115/1.4051475", Journal of Offshore Mechanics and Arctic Engineering , vol.144 ,pp.011201 (Published online since July 1, 2021) 13 pages [2021]

69. **A. Sarkar and S.N. Bora**, "Interaction of water waves with a semi-porous bottom-mounted cylindrical storage tank containing a cylindrical pile doi:10.1061/(ASCE)WW.1943-5460.0000669", Journal of Waterway, Port, Coastal, and Ocean Engineering , vol.147(6) ,pp.04021029 (Published online since July 16, 2021) 13 pages [2021]

68. **S. Mishra, S. Saha, S. Das and S.N. Bora**, "Reflection and damping of linear water waves by a multi-porosity vertical porous structure placed on a step-like raised sea-bed doi:10.1007/s40868-021-00101-y", Marine Systems & Ocean Technology , vol.16 ,pp.142-156, [2021]

67. **B. Roy and S.N. Bora**, "Existence of mild solutions for semilinear evolution equation using Hilfer fractional derivatives", Fractional Differential Calculus , vol.(Accepted on June 29, 2021) [2021]

66. **S.N. Bora and B. Roy**, "Approximate controllability of a class of semilinear Hilfer fractional differential equations doi:10.1007/s00025-021-01507-1", Results in Mathematics , vol.76(4) ,pp.197 (Published online since September 6, 2021) 20 Pages [2021]

65. **K.K. Barman and S.N Bora**, "Interaction of oblique water waves with a single chamber caisson type breakwater for a two-layer fluid flow over an elastic bottom doi:10.1016/j.oceaneng.2021.109766", Ocean Engineering , vol.236 ,pp.109766 (Published online since September 8, 2021) 18 Pages [2021]

64. **B.K. Lenka and S.N. Bora**, "New global asymptotic stability conditions for a class of nonlinear time-varying fractional systems doi:10.1016/j.ejcon.2021.09.008", European Journal of Control , vol.(Accepted on September 12, 2021) ,pp.(Published online since October 10, 2021) 10 pages [2021]

63. **A. Sarkar and S.N. Bora**, "Surge and heave hydrodynamic coefficients for a combination of a porous and a rigid cylinder in motion in finite ocean depth doi:10.1080/17455030.2021.1985744", Waves in Random and Complex Media , vol.(Accepted on September 21, 2021) ,pp.(Published online since October 11, 2021) 32 pages [2021]

62. **A. Chanda and S.N. Bora**, "Investigation of oblique flexural gravity wave scattering by two submerged thin vertical porous barriers with different porosities doi:10.1061/(ASCE)EM.1943-7889.0002071", Journal of Engineering Mechanics , vol.148(2) ,pp.040211(Published online since November 27, 2021) 14 pages [2021]

61. **K.K. Barman and S.N Bora**, "Elastic bottom effects on ocean water wave scattering by a composite caisson type breakwater placed upon a rock foundation in a two-layer fluid", International Journal of Applied Mechanics , vol.(Accepted on November 9, 2021) [2021]

60. **S. Saha, S.K. Mohanty and S.N. Bora**, "Flexural gravity wave resonance in the presence of current", Journal of Waterway, Port, Coastal, and Ocean Engineering , vol.(Accepted on November 18, 2021) [2021]

59. **A. Sarkar and S.N. Bora**, "Hydrodynamic forces and moments due to interaction of linear water waves with truncated partial-porous cylinders in finite depth doi:10.1016/j.jfluidstructs.2020.102898 [(Online since February 7, 2020), 29 Pages)]", Journal of Fluids and Structures , vol.94 (102898) [2020]

58. **A. Chanda and S.N. Bora**, "Propagation of oblique waves over a small undulating elastic bottom topography in a two-layer fluid flowing through a channel doi: 10.1142/S1758825120500234 [(30 pages) Online since April 7, 2020]", International Journal of Applied Mechanics , vol.12(2) (2050023) [2020]

57. **A. Chanda and S.N. Bora**, "Scattering of linear oblique water waves by an elastic bottom undulation in a two-layer fluid doi:10.1007/s00033-020-01331-7[
Paper No 107 (Online since June 11, 2020) 32 pages]", ZAMP (Zeitschrift for angewandte Mathematik und Physik) , vol.71(4) [2020]

56. **A. Chanda and S.N. Bora**, "Effect of a porous sea-bed on water wave scattering by two thin vertical submerged porous plates doi:10.1016/j.euromechflu.2020.06.009", European Journal of Mechanics - B/ Fluids , vol.84 ,pp.250-261, [2020]

55. **M. Hassan, S.N. Bora and M. Biswakarma**, "Water wave interaction with a pair of floating and submerged coaxial cylinders in uniform water depth doi:10.1007/s40868-020-00082-4", Marine Systems & Ocean Technology , vol.15 ,pp.188-198, [2020]

54. **A. Chadha and S.N. Bora**, "Approximate controllability of an impulsive neutral stochastic integro-differential inclusion with nonlocal conditions", Mathematical Report , vol.(Accepted on July 7, 2020) [2020]

53. **S. Saha and S.N. Bora**, "Trapped flexural waves supported by a pair of identical cylinders in a two-layer fluid doi:10.1007/s42452-020-03229-5", SN Applied Sciences , vol.2(8) ,pp.Paper ID 1455 (17 pages) Published online since July 30, 2020 [2020]

52. **A. Chadha and S.N. Bora**, "Stability results on mild solution of impulsive neutral fractional stochastic integro-differential equations involving Poisson jumps", Filomat , vol.(Accepted on August 3, 2020) [2020]

51. **A. Sarkar and S.N. Bora**, "Hydrodynamic coefficients for a floating semi-porous compound porous cylinder in finite ocean depth doi:10.1007/s40868-020-00086-0", Marine Systems & Ocean Technology , vol.15 ,pp.270-285, [2020]

50. **J. Borah and S.N. Bora**, "Sufficient conditions for existence of integral solution for non-instantaneous impulsive fractional evolution equation doi:10.1007/s13226-020-0450-4", Indian Journal of Pure and Applied Mathematics , vol.51(3) ,pp.1065-1082, [2020]

49. **K.K. Barman and S.N. Bora**, "Linear water wave interaction with a composite porous structure in a two-layer fluid flowing over a step-like sea-bed doi: 10.1080/03091929.2020.1842391", Geophysical and Astrophysical Fluid Dynamics , vol.(Accepted on October 20, 2020) ,pp.Published online since November 25, 2020 (35 pages) [2020]

48. **V. Gupta, S. N. Bora, J. Nieto.**, "Dhage iterative principle for quadratic perturbation of fractional boundary value problems with finite delay (In Press).", Mathematical Methods in Applied Sciences. [2019]

47. **M. Hassan, S. N. Bora.**, "Diffraction of water waves by a finite circular hollow cylinder in water of infinite depth (In Press).", Applied Sciences. [2019]

46. **A. Sarkar, S. N. Bora.**, "Hydrodynamic forces due to water wave interaction with a bottom-mounted surface-piercing compound porous cylinder", Ocean Engineering , vol.171 ,pp.59-70, [2019] , doi:10.1016/j.oceaneng.2018.10.019

45. **A. Chaddha, S. N. Bora.**, "Solvability of control problem for fractional nonlinear differential inclusions with nonlocal conditions (In Press).", Nonlinear Alanysis: Modelling and Control. [2018]

44. **J. Borah, S. N. Bora.**, "Existence of mild solution of a class of nonlocal fractional order differential equation with not instantaneous impulses (In Press.).", Fractional Calculus and Applied Analysis. [2018]

43. **A. Chaddha, S. N. Bora.**, "Approximate controllability of impulsive neutral stochastic differential equations driven by Poisson jumps.", J ournal of Dynamical and Control Systems. , vol.24 ,pp.101-128, [2018] , doi:10.1007/s10883-016-9348-1

42. **A. Chaddha, S.N. Bora.**, "Approximate Controllability of Impulsive Neutral Stochastic Differential Equations Driven by Poisson Jumps(In Press).", Journal of Dynamical and Control Systems [2016]

41. **N. Choudhary, S.N. Bora.**, "Linear sloshing frequencies in the annular region of a circular cylindrical container in presence of a rigid baffle (In Press).", Sadhana-Academy Proceedings in Engineering Sciences. [2016]

40. **N. Choudhary, S.N. Bora. . ():-. November.**, "Liquid sloshing in a circular cylindrical container containing a two-layer fluid", International Journal of Advances in Engineering Sciences and Applied Mathematics. , vol.8 (4) ,pp.240-248, [2016] , doi: 10.1007/s12572-016-0176-z

39. **S. Saha, S.N. Bora.**, "Effects of surface tension on trapped modes in a two-layer fluid, ANZIAM", ANZIAM Journal [2015]

38. **M. Hassan, S.N. Bora.**, "Surge motion coefficients for a finite circular hollow cylinder radiating in water of infinite depth", Begellhouse International Journal of Fluid Mechanics Research. , vol.42 ,pp.95-110, [2015] , doi: 10.1615/InterJFluidMechRes.v42.i2

37. **M. Hassan, Swaroop Nandan Bora.**, "Surge motion coefficients for a finite circular hollow cylinder radiating in water of infinite depth.", International Journal of Fluid Mechanics Research. In Press. [2014]

36. **Santu Das, Swaroop Nandan Bora.**, "Damping of oblique ocean waves by a vertical porous structure placed on a multi-step bottom", Journal of Marine Science and Application , vol.13 ,pp.362-376, [2014]

35. **Santu Das, Swaroop Nandan Bora.**, "Reflection of oblique ocean water waves by a vertical porous structure placed on a multi-step impermeable bottom", Applied Ocean Research , vol.47 ,pp.373-385, [2014]

34. **Mohammad Hassan, Swaroop Nandan Bora.**, "Hydrodynamic coefficients in surge for a radiating hollow cylinder placed above a coaxial cylinder at finite ocean depth.", Journal of Marine Science and Technology. , vol.19 ,pp.450-461, [2014]

33. **Neelam Choudhary, Swaroop Nandan Bora.**, "Linear sloshing in a vertical circular cylinder with curved bottom in the presence of a rigid baffle", Journal of Advanced Research in Applied Mathematics , vol.6 ,pp.29-45, [2014]

32. **Santu Das, Swaroop Nandan Bora.**, "Reflection of oblique ocean water waves by a vertical rectangular porous structure placed on an elevated horizontal bottom.", Ocean Engineering , vol.82 ,pp.135-143, [2014]

31. **Santu Das, Swaroop Nandan Bora.**, "Wave damping by a vertical porous structure placed near and away from a rigid vertical wall.", Geophysical and Astrophysical Fluid Dynamics , vol.108 (2) ,pp.147-167, [2014]

30. **M. Hassan, Swaroop Nandan Bora.**, "Rotational motion due to the interaction of water waves with a pair of coaxial cylinders in water, of finite depth.", Journal of Advanced Research in Applied Mathematics. , vol.6 (1) ,pp.48-65, [2014]

29. **S. Saha, Swaroop Nandan Bora.**, "Flexural gravity waves trapped in a two-layer fluid of finite depth", Applied Ocean Research , vol.44 ,pp.1-12, [2014]

28. **Mohammad Hassan, Swaroop Nandan Bora.**, "Exciting forces for a wave energy device consisting of a pair of coaxial cylinders in water of finite depth", Journal of Marine Science and Application , vol.12 (3) ,pp.315-324, [2013]

27. **Sunanda Saha, Swaroop Nandan Bora.**, "Trapped modes in a two-layer fluid of finite depth bounded above by a rigid lid.", Wave Motion , vol.50 ,pp.1050-1060, [2013]

26. **Swaroop Nandan Bora, S. Mohapatra.**, "Oblique water wave scattering by bottom undulation in a two-layer fluid flowing through a channel.", Journal of Marine Science and Application. , vol.11 ,pp.276-285, [2012]

25. **Swaroop Nandan Bora, S. Mohapatra.**, "Oblique wave scattering by an impermeable ocean-bed of variable depth in a two-layer fluid with ice-cover.", ZAMP (Zeitschrift fuer Angewandte Mathematik und Physik) , vol.63 ,pp.879-903, [2012]

24. **Swaroop Nandan Bora, S.C. Martha, A. Chakrabarti.**, "Scattering of surface waves by small undulation on a porous sea-bed: a Fourier transform approach.", Journal of Assam Academy of Mathematics. , vol.4 ,pp.1-7, [2012]

23. **M. Hassan, Swaroop Nandan Bora.. :-. .**, "Exciting forces for a pair of coaxial hollow cylinder and bottom-mounted cylinder in water of finite depth", Ocean Engineering, An Elsevier Journal. , vol.50 ,pp.38-43, [2012]

22. **S. Mohapatra, S.N. Bora.**, "Reflection and transmission of water waves in a two-layer fluid flowing through a channel with undulating bed", ZAMM (Zeitschrift fur Angewandte Mathematikund Mechanik) , vol.91 (1) ,pp.46-56, [2011] , DOI: 10.1002/zamm.200800216

21. **Swaroop Nandan Bora, S. Mohapatra.**, "Radiation of water waves by a submerged sphere in an ice-covered two-layer fluid of finite depth. . ():-.", Journal of Advanced Research in Applied Mathematics , vol.2 (1) ,pp.446-463, [2010]

20. **G. Barua, Swaroop Nandan Bora.**, "Hydraulics of a partially penetrating well with skin zone in a confined aquifer", Advances in Water Resources , vol.33 ,pp.1575-1587, [2010] , DOI: 10.1016/j.advwatres.2010.09.008

19. **Swaroop Nandan Bora, S. Mohapatra.**, "Scattering of internal waves in a two-layer fluid flowing through a channel with small undulations.", Ocean Dynamics. , vol.59 (4) ,pp.615-625, [2009]

18. **S. Mohapatra, Swaroop Nandan Bora.**, "Scattering of internal waves in a two-layer fluid flowing through a channel with small undulations. . :-", Ocean Dynamics , vol.59 ,pp.615-625, [2009]

17. **S. Mohapatra, Swaroop Nandan Bora.**, "Propagation of oblique waves over small bottom undulation in an ice-covered two-layer fluid.", Geophysical and Astrophysical Fluid Dynamics. , vol.103 ,pp.347-374, [2009]

16. **S. Mohapatra, Swaroop Nandan Bora.**, "Water wave interaction with a sphere in a two-layer fluid flowing through a channel of finite depth.", Archive of Applied Mechanics. , vol.79 ,pp.725-740, [2009]

15. **S.C.Martha, Swaroop Nandan Bora, A. Chakrabarti.**, "Interaction of surface water waves with small bottom undulation on a sea-bed.", Journal of Applied Mathematics and Informatics. , vol.27 ,pp.1017-1031, [2009]

14. **Swaroop Nandan Bora, S. C. Martha. .**, "Oblique surface wave propagation over small undulation of the bottom of an ocean.", Geophysical and Astrophysical Fluid Dynamics. , vol.101 (2) ,pp.65-80, [2008]

13. **Swaroop Nandan Bora, S.C. Martha.**, "Scattering of Surface Waves over an Uneven Sea-bed.", Applied Mathematics Letters. , vol.21 ,pp.1082-1089, [2008]

12. **S.C. Martha, S.N. Bora, A. Chakrabarti.**, "Oblique water wave scattering by small undulations on a porous sea-bed.", Applied Ocean Research. , vol.29 (1-2) ,pp.86-90, [2007]

11. **S. C. Martha, S. N. Bora.**, "Oblique surface wave propagation over small undulation of the bottom of an ocean.", Geophysical and Astrophysical Fluid Dynamics. , vol.101 (2) ,pp.65-80, [2007]

10. **S. C. Martha, S. N. Bora.**, "Reflection and transmission coefficients for water wave scattering by a sea-bed of small undulation.", Zeitschrift fur Angewandte Mathematik und Mechanik/Journal of Applied Mathematics and Mechanics. , vol.87 (4) ,pp.314-321, [2007]

9. **S. C. Martha, S. N. Bora, A. Chakrabarti.**, "Reflection of wave energy by small undulation of the sea-bed.", Recent Advances in Computational Mechanics and Simulations: Proc. 2nd International Congress on Computational Mechanics and Simulation, Vol II, I.K. International Publishing House Pvt. Ltd.2 , vol.II ,pp.1483-1489, [2006]

8. **S. C. Martha, S. N. Bora.**, "Water wave diffraction by a small deformation of the ocean bottom for oblique incidence.", Acta Mechanica. , vol.185 ,pp.165-177, [2006]

7. **Swaroop Nandan Bora.**, "Hydrodynamic coefficients for water wave diffraction by spherical structures.", Sadhana, Academy Proceedings in Engineering Sciences. , vol.29 (6) ,pp.617-628, [2004]

6. **Swaroop Nandan Bora.**, "Exciting forces due to diffraction of water waves on a sphere in finite depth.", WSEAS Transactions on Mathematics. , vol.1 (4) ,pp.180-185, [2000]

5. **Swaroop Nandan Bora, M. Rahman, M.G. Satish.**, "A note on second-order wave forces on a circular cylinder in finite water depth.", Applied Mathematics Letters. , vol.12 ,pp.63-70, [1999]

4. **Swaroop Nandan Bora, M. Rahman.**, "Recent mathematical developments of potential theory applied to diffraction of water waves, Part II. Spherical Structures.", Journal of Assam Science Society. , vol.37 (2) ,pp.66-82, [1995]

3. **Swaroop Nandan Bora, M. Rahman, M.G. Satish.**, "Recent mathematical developments in potential theories applied to diffraction of water waves.", Advances in Fluid Mechanics, (Potential Flow of Fluids). , vol.6 ,pp.199-243, [1995]

2. **Swaroop Nandan Bora, M. Rahman.**, "Recent mathematical developments of potential theory applied to diffraction of water waves, Part II. Spherical Structures.", Journal of Assam Science Society. , vol.37 (2) ,pp.66-82, [1995]

1. **Swaroop Nandan Bora, M. Rahman.**, "Recent mathematical developments of potential theory applied to diffraction of water waves, Part I. Circular Cylinders.", Journal of Assam Science Society. , vol.37 (1) ,pp.1-21, [1995]

11. **S. C. Martha, S. N. Bora, A. Chakrabarti.**, "Oblique Surface-wave Propagation over Sinusoidally Varying Topography.", Proceedings of 51st Congress of The Indian Society of Theoretical and Applied Mechanics (ISTAM), college of Engineering, Andhra University. ,pp.23-30, [2006]

10. **Swaroop Nandan Bora.**, "Some Aspects of Environmental Fluid Mechanics.", Proceedings of International Conference on Environmental Fluid Mechanics (ICEFM' 05, IIT Guwahati, March 3-5, 2005), Allied Publishers Pvt Ltd. [2005]

9. **S. C. Martha, S. N. Bora.**, "Water wave scattering by an ocean bed of small deformation.", International Conference on Environmental Fluid Mechanics, March 3-5, 2005, organized by Indian Institute of Technology Guwahati, India, . , NCNSD ,pp.132-137, [2005]

8. **Swaroop Nandan Bora, S.C. Martha.**, "Transformation Technique for Water Wave Scattering by a variable Bottom.", International Conference on Theoretical, Applied, Computational and Experimental Mechanics (ICTACEM04), Kharagpur, December 28-30, 2004, organized by Indian Institute of Technology, Kharagpur, India. ,pp.161-165, [2004]

7. **Swaroop Nandan Bora.**, "Associated Legendre polynomials in problems of water wave diffraction by submerged bodies.", 5th International Conference on Special Functions and their Applications, Lucknow, February 8-10, 2004 organized by the Society for Special Functions and their Applications. , Published in the Proceedings EDT by A.K. Agarwal. ,pp.63-73, [2004]

6. **Swaroop Nandan Bora, S.C. Martha.**, "Bessel functions in linear water wave diffraction theory.", 5th International Conference on Special Functions and their Applications, Lucknow, February 8-10, 2004, organized by the Society for Special Functions and their Applications. , Published in the Proceedings EDT by A.K. Agarwal. ,pp.102-114, [2004]

5. **Swaroop Nandan Bora.**, "Analytical solution for the second order wave loading for cylindrical structure(s).", 30th Conference on Fluid Mechanics and Fluid Power, National Institute of Technology Karnataka, Surathkal, December . ,pp.92-99, [2003]

4. **Swaroop Nandan Bora.**, "Multipole expansion method for the diffraction of water waves by a submerged spherical structure.", HYDRO2002: Conference on Hydraulics, Water Resources and Ocean Engineering, IIT Bombay. Mumbai, December 16-17. ,pp.363-367, [2002]

3. **Swaroop Nandan Bora.**, "Exciting forces due to diffraction of water waves on a sphere in finite depth water.", WSEAS International Conference on Theoretical and Applied Mathematics, Miedzyzdroje, Poland, September 1-5. ,pp.1961-1966, [2002]

2. **Swaroop Nandan Bora.**, "Second order wave forces for a circular cylinder in finite water depth. November.", National Seminar on Advances in Mathematical, Statistical and Computational Methods in Science and Technology, Indian School of Mines, Dhanbad, Jharkhand, November 29-30. ,pp.33-42, [2001]

1. **Swaroop Nandan Bora.**, "The radiation problem of a submerged sphere and the evaluation of hydrodynamic coefficients.", International Conference on Recent Advances in Mathematical Sciences (ICRAMS2000), IIT Kharagpur, December 20-22, 2000. , Published in Recent Trends in Mathematical Sciences EDT by J. C. Misra and S.B. Sinha ,pp.117-135, [2000]

**PostDoc Fellow **

1 | Dr. Basua Debananda (IPDF) |

1 | Dr. Bichitra Kumar Lenka (IPDF) |

**Research Scholars **

1 | Abhijit Shit |

2 | Shilpi Jain |

3 | Mahesh Kumar Nehra |

4 | Sunil |

5 | Nabanita Karmakar |

6 | Sohini Pal |

7 | Smriti Singh |

8 | Karabee Devi |

1 | Abhijit Sarkar |

2 | Bandita Roy |

3 | Ayan Chanda |

4 | Koushik Kanti Barman |

5 | Shiva Kandpal |

6 | Matap Shankar |

7 | Subash Chandra Martha |

8 | Smrutiranjan Mohapatra |

9 | Santu Das |

10 | Mohammad Hasan |

11 | Sunanda Saha |

12 | Neelam Choudhary |

13 | Jayanta Borah |

No Project Available!

No Project Available!

No Data Available!