IITKGP

Research Areas

  • Linear water waves
  • Integral equations
I am interested in developing mathematical techniques required to study linear water wave problems. We generally investigate interaction of water waves with barriers such as rigid/porous/elastic as well as with surface discontinuities in the form of floating elastic plate, inertial surface etc. While studying scattering problems, the governing boundary value problems are mainly reduced to integral equations with singular kernels. These integral equations are solved numerically employing different approaches. We also investigate wave generation problems. This requires application of techniques of integral transform.
  • Hydrodynamic behaviour of two asymmetrically submerged piezoelectric plates by Roy T., Gupta S., De S., Gayen R. Journal of Fluids and Structures 142 - (2026)
  • Water wave scattering by an ice-strip by Rupanwita Gayen, B. N. Mandal and A. Chakrabarti Journal of Engineering Mathematics 53 21 - 37 (2005)
  • A Note on the Radiation of Water Waves by a Nonuniform Porous Disk by Gayen R., Hoque A. Journal of Fluids Engineering 148 - (2026)
  • The interaction of flexural-gravity waves with a submerged porous elliptic disk in deep water: Scattering and radiation analysis by Hoque A., Gayen R., Farina L., Datta R. Physics of Fluids 37 - (2025)
  • The solution of a hypersingular integral equation occurring in potential problems over an elliptic disc by a spectral method by Farina L., Gayen R. Journal of Integral Equations and Applications 35 427-442 (2023)
  • A hypersingular integral equation approach to the porous plate problem by R. Gayen and Arpita Mondal Applied Ocean Research 46 70 - 78 (2014)
  • Co-Principal Investigator

Ph. D. Students

Ajijul Hoque

Area of Research: Fluid-structure interaction

Pathik Kolay

Area of Research: Wave-Structure Interaction

Priyankar Laha

Area of Research: Fluid-Structure interactions

Toushik Roy

Area of Research: Water wave scattering and radiation