Dr. S. C. Martha

Professor

Dr. Subash Chandra Martha obtained his doctoral degree from IIT Guwahati. He carried out post-doctoral studies at Indian Institute of Science (IISc), Bangalore (2007-2010) obtaining fellowship from NBHM, India. Presently, Dr. Martha is a Professor of Mathematics at IIT Ropar. Dr. Martha’s areas of research interests include Water Wave Mechanics (Scattering of water waves, Very large floating structures, Linear and Nonlinear flow in a channel) and Integral Equation.

My Homepage and Wave Dynamics Group

Short Resume (Last updated October 02, 2025)

Areas of Research

Mathematical modelling on water waves phenomenon
Integral Equation
Partial Differential Equation
Numerical Methods and Simulation

Education

Work Experience

Professor, Indian Institute of Technology Ropar, India, 2025 - till date
Associate Professor, Indian Institute of Technology Ropar, India, 2016-2025
Assistant Professor, Indian Institute of Technology Ropar, India, 2010-2016
Post-Doctoral Fellow at Indian Institute of Science, Bangalore, India, 2007-2010
Research Fellow in the DST sponsored project at Indian Institute of Technology Madras, India, 2001-2002

Projects

Responsibilities

PhD & MSc Students

Current PhD Students

Completed PhD Students

1. Srikumar Panda (Title: Boundary Value Problems arising in Multi-layered Fluid System; Period: July 29, 2010 to May 28 , 2015; Thesis Defended on 28 May 2015)
2. Arun Choudhary (Title: Mathematical Techniques for Water Wave Scattering by Structures in the Presence of Uneven Bottom. Thesis Defended on 24 July 2017)
3. Amandeep Kaur (Integral Equation and Allied Methods for Wave Interaction with Ocean Structures in the Presence of Seabed Undulation. Thesis Defended on 04 March 2021)
4. Sofia Singla (Eigenfunction Expansion Method for Hydroelastic Analysis of a Very Large Floating Structure in the Presence of Porous Breakwaters. Thesis Defended on 15 March 2021)
5. Abhijit Ghosh (Thesis Title: High-performance Computation of Pricing Financial Options; Thesis Defended on 05 November 2021)
6. Naveen Kumar (Thesis Title: Mathematical Techniques for Scattering of Water Waves by Horizontal/Vertical Barrier(s) Over Different Bottom Topographies; Thesis Defended on 09 October 2023)
7. Gagan Sahoo ( Thesis Title: Eigenfunction Expansion Method for Analysis of Mitigating Wave Load on an Elastic Plate and a Sea Wall in the Presence of Thick Porous Structure(s); Thesis Defended on 09 August 2024)
8. Sunita Choudhary (Thesis Title: Interaction of Surface Water Waves with Floating or Submerged Horizontal Porous Barrier(s) over Trench-type Bottom Topography: A Mathematical Study. Thesis Defended on 08 January 2025)
9. Deepali Goyal (Thesis Title: Application of Various Methods in Studying Wave Propagation over Different Bathymetries. Thesis Defended on 10 September 2025)
10. Akshita Aggarwal (Thesis Title: Surface and Flexural Gravity Wave Scattering with Bragg Resonance: Linear and Nonlinear Analyses. Thesis Defended on 11 September 2025 )

M.Sc. Students (Ongoing & Completed)

Post-Doc Fellows

Publications:

Journal Publications

All 65 publications will be updated soon
A. Choudhary and S. C. Martha, (2017) Approximate solutions of some problems of scattering of surface water waves by vertical barriers, Sadhana: Academy Proceedings in Engineering Sciences- Springer (in press).
A. Choudhary and S. C. Martha, (2017) Scattering of oblique surface water waves by thin vertical barrier over undulating bed topography Sciences, Journal of Marine Science and Application- Springer (in press)
A. Choudhary and S. C. Martha, (2016) Diffraction of surface water waves by an undulating bed topography in the presence of vertical barrier, Ocean Engineering-Elsevier, Volume 122, 32-43.
Srikumar Panda, S. C. Martha, and A. Chakrabarti, (2016) An alternative approach to study nonlinear inviscid flow over arbitrary bottom topography, Applied Mathematics and Computation, Volume 273, 165-177 (Elsevier Publication).
Srikumar Panda, S. C. Martha and A. Chakrabarti, (2015), A modified approach to numerical solution of Fredholm integral equations of the second kind, Applied Mathematics and Computation, Vol 271, pp. 102-112 ( Elsevier Publication, DOI: 10.1016/j.amc.2015.08.111)
Srikumar Panda, S. C. Martha and A. Chakrabarti, Three-layer fluid flow Over small Obstruction on the bottom of an Infinite Channel, The ANZIAM Journal, Volume 56, Issue 03, January 2015, pp 248-274 (Cambridge University Press, DOI: Published link of the paper ).
S Panda, RK Singla, R Das and SC Martha, (2014), Identification of design parameters in a solar collector using inverse heat transfer analysis, Energy Conversion and Management 88, 27-39,(Elsevier Publications).
A. Bhowmik, S. Panda, R. Das, R. Repaka and S.C. Martha, (2014), Inverse analysis of conductive-convective wet triangular fin for predicting thermal properties and fin dimensions, Inverse Problems in Science & Engineering, 22(8), 1367-1393,(Taylor & Francis).
15. S. Panda, A. Bhowmik, R. Das, R. Repaka, S. C. Martha, (2014), Application of Homotopy Analysis Method and Inverse Solution of a Rectangular Wet Fin, Energy Conversion and Management, 80, 305-318, 2014 (Elsevier Publications).
14. Srikumar Panda and S. C. Martha, (2014) Oblique Wave Scattering by Undulating Porous Bottom in a two-layer Fluid: Fourier transform approach, Geophysical and Astrophysical Fluid Dynamics, 108 (6), 587-614 (Taylor & Francis).
13. A. Choudhary and S. C. Martha (2014), Propagation of water waves in the presence of thin vertical barrier on the bottom undulation, Springer Proceedings in Mathematics and Statistics, 91, 1-11
12. Srikumar Panda and S. C. Martha, Interaction of water waves with small undulation on a porous bed in a two-layer ice-covered fluid, Journal of Marine Science and Application, 12 (4), 381-392 (Springer Publisher)
11. Srikumar Panda, S. S. Samantaray and S. C. Martha, (2013) Wave Scattering by Small Undulation on the Porous Bottom of an Ocean in the Presence of Surface Tension, ISRN Oceanography, Vol. 2013, Article ID 504879, 6 pages (Published by Hindawi) DOI: http://dx.doi.org/10.5402/2013/504879.
10. A. Chakrabarti and S. C. Martha (2012) Methods of Solution of Singular Integral Equations, Mathematical Sciences, Vol. 6, 15 pages (Published by SpringerOpen, DOI:10.1186/2251-7456-6-15).
9. A. Chakrabarti and S. C. Martha (2011) A review on the mathematical aspects of fluid flow problems in an infinite channel with arbitrary bottom topography, Journal of Applied Mathematics and Informatics, 29 (No. 5-6), 1583-1602.
8. A. Chakrabarti, S. C. Martha (2009) Approximate solutions of Fredholm integral equations of the second kind, Applied Mathematics and Computation -Elsevier, 211(2), 459-466
7. S. C. Martha, S. N. Bora and A. Chakrabarti (2009) Interaction of surface water waves with small bottom undulation on a sea-bed, Journal of Applied Mathematics and Informatics, 27 (No.5-6), 1017-1031
6. A. Chakrabarti and S. C. Martha (2009) A note on energy-balance relations in surface water wave problems involving floating elastic plates, JARAM: Journal of Advanced Research in Applied Mathematics, 1(2), 27-34
5. S. N. Bora and S. C. Martha (2008) Scattering of surface waves over an uneven sea-bed, Applied Mathematics Letters -Elsevier, 21, 1082-1089
4. S. C. Martha, S. N. Bora and A. Chakrabarti (2007) Oblique water wave scattering by small undulation on a porous sea-bed, Applied Ocean Research -Elsevier, 29(1-2), 86-90
3. S. C. Martha and S. N. Bora (2007) Oblique surface wave propagation over a small undulation on the bottom of an ocean, Geophysical & Astrophysical Fluid Dynamics - Taylor and Francis, 101(2), 65-80
2. S. C. Martha and S. N. Bora (2007) Reflection and transmission coefficients for water wave scattering by a sea-bed with small undulation, Zeitschrift fur Angewandte Mathematik und Mechanik (ZAMM) - Wiley InterScience, 87(4), 314-321
1. S. C. Martha and S. N. Bora (2006) Water wave diffraction by a small deformation of the ocean bottom for oblique incidence, Acta Mechanica- Springer, 185(3-4), 165-177

Conference Proceedings:

About the Lab

Will be updated soon.

Achievements

Ms. Nidhi Sharma's 3^rd paper accepted in Physics of Fluids on October 7, 2025.
Akshita Aggarwal defended her thesis on 11th September 2025. She has also been offered a postdoctoral (PDF) position at Zhejiang University in Hangzhou, China.
Deepali Goyal defended her thesis on 10th September 2025. She has also been offered a postdoctoral (PDF) position at CORIA, which is a Joint Research Unit (UMR) under the Institute of Engineering and Systems (INSIS) of CNRS, the University of Rouen Normandie, and INSA Rouen Normandie, France.

Mathematical Modelling in Water Wave Scattering, in 6th International Conference on Research Trends in Engineering, SGTB Khalsa College, Anandpur Sahib (held at NITTTR, Chandigarh), January 08, 2017.
Integral Equation Method applied to Nonlinear Flow Problems, in the international conference on Recent Advances on Theoretical and Computational Partial Differential Equations held at UIET, Panjab, Chandigarh, India during December 5-9, 2016.
Wave scattering in single-layer and two-layer fluid at Shanghai University, Shanghai, August 6-9, 2015.
"Boundary Value Problems Arising in Multi-Layered Fluid", at National Seminar on Advances in Mathematical Analysis and Its Applications held at National Institute of Science & Technology, Berhampur during December 19-20, 2014
"Boundary Value Problems involving Fluid Flow in a Channel", at Conference on Partial Differential Equations held at LNMIIT, Jaipur during December 10-11, 2014
"Research Methodology and Innovation' in the Institute Seminar Series", National Institute of Technology Rourkela on December 17, 2013
"Application of Research Methodology in Science and Engineering" in the Departmental Seminar of School of Computer Engineering, Kalinga Institute of Industrial Technology University, Bhubaneswar on December 14, 2013
Role of Integral Equation in Nonlinear Flow problems in the UGC sponsored National Seminar on Recent Trends in Mathematical Sciences held at School of Mathematics, Shri Mata Vaishno Devi University, Katra on March 22, 2013.
Mathematical Modelling on Very large Floating Structures in the UGC sponsored National Seminar in Mathematics (Impact of ICT on Socio-Economic Development of Rural India) held at P.G. Department of Mathematics, Gaya College, Gaya, India during September 22-23, 2012.
Integral Equation Method applied to Boundary Value Problems in the ``International Conference on Analysis and Applications" held at Berhampur University, Berhampur, India during July 20-21, 2012.
Integral Equation arising in Fluid Flow problems in the ``National Conference on Industrial Mathematics & Computing", held at Kalinga Institute of Industrial Technology University, Bhubaneswar, India during May 26-27, 2012.
Application of Least-Squares Method in Solving Water Wave Scattering Problems in the ``National Conference on Recent Trend in Mathematical Analysis and Applications (NCRTMAA-2010)" held at Berhampur University, Berhampur, Odisha, India during December 22-23, 2010.

Events

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Outreach Activities