Control Theory
Stabilization of PDEs
Numerical analysis : FEM for control problems
Deep Learning and Neural Network
Hemivariational Inequality
W. Akram, and M. T. Mohan, Optimal control of a hemivariational inequality of stationary Convective Brinkman–Forchheimer extended Darcy equations with numerical approximation, Computer Methods in Applied Mechanics and Engineering (CMAME), 452, Part B, Paper No. 118755, 2026.
W. Akram, Feedback Stabilization and Finite Element Error Analysis of Viscous Burgers Equation around Non-Constant Steady State, Computer and Mathematics with Applications (CAMWA), 203, 100-131, 2026.
W. Akram, M. Bag, and M. T. Mohan, Feedback Stabilizability of a generalized Burgers-Huxley equation with kernel around a non-constant steady state, Journal of Mathematical Analysis and Applications (JMAA), 556 (2), Paper No. 130237, 2026.
B. P. K. Sistla, W. Akram, D. Mitra, and V. Natarajan, LQR based ω−stabilization of a heat equation with memory, IMA J. Math. Control Inform. 42 (2025), no. 4, dnaf030.
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 (EECT), 11 (2022), no. 3, 939 - 973.
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, 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
R. Shukla, W. Akram, and M. T. Mohan, Finite element analysis of a nonlinear heat Equation with damping and pumping effects, (submitted), 2025
Sagar Gautam
Manika Bag
Rishabh Shukla