Arghya Kundu

 
Postdoc Fellow

Research

My research focuses on the mathematical analysis of partial differential equations (PDEs) and control theory. I am particularly interested in

  1. Optimal control problem.
  2. Multiscale modelling and homogenization.
  3. System of diffusion-reaction equations, Cahn-Hilliard systems, phase separation and morphology formation in ternary solutions.
  4. Control theory.

Collaboration

  • Dept. of Mathematics, IIT Kharagpur.

Selected publications

  • A. Kundu and H. S. Mahato, "Existence of solution for an optimal control problem in a heterogeneous porous medium", IMA Journal of Mathematical Control and Information, vol 41(2),  pp. 328-355, 2024.

  • A. Kundu and H. S. Mahato, "An optimal control problem for diffusion-precipitation model", Asymptotic Analysis, Vol. 139, Issue 3/4, pp. 183-215, 2024.

  • A. Kundu and H. S. Mahato, "Homogenisation of an optimal control problem for multispecies diffusion-reaction equation", Journal of Dynamical and Control Systems , vol 31(3), 2025.

  • A. Kundu and A. Muntean,  "Optimal control problem for a nonlinear nonlocal evolution system describing an interacting ternary mixture with an evaporating component: 2D case with bulk evaporation",  RIMS Kokyuroku, ISSN 1880-2818, no 2345, 2026.

  • A. Kundu and H. S. Mahato, "A pore scale analysis of Stokes Cahn-Hilliard-Oono equations with double well potential", (Appear to be in Aplication of Mathematics).

  • A. Kundu, "Asymptotic analysis of an optimal control problem for a system of semilinear diffusion-reaction equations in a porous medium", (Appear to be in Optimization).

  • A. Kundu and H. S. Mahato, Periodic homogenisation of an optimal control problem for diffusion-reaction-precipitation-dissolution system in 3D, (Submitted)

  • A. Kundu, An Optimal control problem for Stokes-Cahn-Hilliard-Oono equations with singular potential in three dimensional porous medium, (Submitted).

    

Publications