Control Theory
Stabilization of PDEs
Numerical analysis : FEM for control problems
Deep Learning and Neural Network
Hemivariational Inequality
B. P. K. Sistla, W. Akram, D. Mitra, and V. Natarajan, LQR based ω−stabilization of a heat equation with memory, to appear in IMA Journal of Mathematical Control and Information, 2025.
W. Akram, D. Mitra, N. Nataraj, and M. Ramaswamy, Feedback stabilization of a parabolic coupled system and its numerical study, Mathematical Control and Related Fields (MCRF) 14(2):695-746 (2024).
W. Akram, and D. Mitra, Local stabilization of viscous Burgers equation with memory, Evolution Equations and Control Theory 11 (2022), no. 3, 939 - 973.
W. Akram, and M. T. Mohan, Optimal control of a hemivariational inequality of stationary Convective Brinkman–Forchheimer extended Darcy equations with numerical approximation, (submitted), 2025
W. Akram, and M. T. Mohan, Mixed Finite Element Method for a Hemivariational Inequality of Stationary convective Brinkman-Forchheimer Extended Darcy equations, (submitted), 2025
M. Bag, W. Akram, and M. T. Mohan, Boundary Stabilizability of Generalized Burgers-Huxley Equation with Memory, (submitted), 2025
W. Akram, Feedback Stabilization and Finite Element Error Analysis of Viscous Burgers Equation around Non-Constant Steady State, (under review) 2025.
W. Akram, M. Bag, and M. T. Mohan, Stabilizability of 2D and 3D Navier-Stokes equations with memory around a non-constant steady state, (in review), 2025,
W. Akram, S. Gautam, D. Verma, and M. T. Mohan, Error estimates for viscous Burgers' equation using deep learning method, (submitted), 2025
W. Akram, M. Bag, and M. T. Mohan, Feedback Stabilizability of a generalized Burgers-Huxley equation with kernel around a non-constant steady state, (in review), 2025,
Sagar Gautam
Manika Bag