5 papers
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…
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…
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…
Analysis of the magnetization control problem for the 2D evolutionary Landau-Lifshitz-Gilbert equation
Sidhartha Patnaik, Sakthivel Kumarasamy
The magnetization control problem for the Landau-Lifshitz-Gilbert (LLG) equation with zero Neumann b…
Optimal Control of the 2D Landau-Lifshitz-Gilbert Equation with Control Energy in Effective Magnetic Field
Sidhartha Patnaik, Sakthivel Kumarasamy
The optimal control of magnetization dynamics in a ferromagnetic sample at a microscopic scale is studied. The dynamics of this model is governed by the Landau-Lifshitz-Gilbert equ…