S. Singh

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math.AP2026

Uniform stabilization for relatively bounded perturbations of generators of semigroup

Shri Lal Raghudev Ram Singh, Piermarco Cannarsa, Roberto Guglielmi

In this paper, we study the robustness of exponential stability for semigroups generated by linear operators under perturbations. Extending a classical result of Gibson's Stability…

math.AP2024

Boundary control of generalized Korteweg-de Vries-Burgers-Huxley equation: Well-Posedness, Stabilization and Numerical Studies

Manil T. Mohan, Shri Lal Raghudev Ram Singh

A boundary control problem for the following generalized Korteweg-de Vries-Burgers-Huxley equation: $u_{t} = ν u_{xx} - μ u_{xxx} - α u^{δ} u_{x} + β u (1 - u^{δ}) (u^{δ} - γ), x \in [0, 1], t > 0,$ where $ν,…

math.AP2023

Analysis and Numerical Study of Boundary control of generalized Burgers-Huxley equation

Shri Lal Raghudev Ram Singh, Manil T. Mohan

In this work, a boundary control problem for the following generalized Burgers-Huxley (GBH) equation: $u_{t} = ν u_{xx} - α u^{δ} u_{x} + β u (1 - u^{δ}) (u^{δ} - γ),$ where $ν, α, β > 0,$ $1 \leq δ < \infty$ , $…