3 papers
math.AP2026
Identification of thermal expansion coefficient in a thermoelastic plate from final time-measured displacement
A. Dileep, S. Patnaik, K. Sakthivel +1
We investigate a coupled thermoelastic plate system consisting of a fourth-order displacement equation and a heat evolution equation linked through a spatially varying coupling fac…
math.OC2025
Time Optimal Control Problem for the Landau-Lifshitz-Bloch equation
Sidhartha Patnaik, Kumarasamy Sakthivel
This paper investigates the time-optimal control problem for the Landau-Lifshitz-Bloch (LLB) equation, a macroscopic model that characterizes magnetization dynamics in ferromagneti…
math.OC2025
Magnetization control problem for the 2D and 3D evolutionary Landau-Lifshitz-Bloch equation
Sidhartha Patnaik, Kumarasamy Sakthivel
In this study, we investigate the optimal control of the Landau-Lifshitz-Bloch equation within confined domains in for We establish the existence of strong…