Local exponential stabilization of rogers–mcculloch and fitzhugh–nagumo equations by the method of backstep**

S Chowdhury, R Dutta, S Majumdar - ESAIM: Control, Optimisation …, 2024 - esaim-cocv.org
In this article, we study the exponential stabilization of some one-dimensional nonlinear
coupled parabolic-ODE systems, namely Rogers–McCulloch and FitzHugh–Nagumo …

Boundary Stabilizability of the Linearized Compressible Navier--Stokes System in One Dimension by Backstep** Approach

S Chowdhury, R Dutta, S Majumdar - SIAM Journal on Control and …, 2021 - SIAM
In this article, we study the boundary feedback stabilization of the one-dimensional
compressible Navier--Stokes system, linearized around a constant steady state (Q_0,0) …

Some controllability results for linearized compressible Navier-Stokes system with Maxwell's law

S Ahamed, D Mitra - Journal of Mathematical Analysis and Applications, 2024 - Elsevier
In this article, we study the control aspects of the one-dimensional compressible Navier-
Stokes equations with Maxwell's law linearized around a constant steady state with zero …

Lack of null controllability of one dimensional linear coupled transport-parabolic system with variable coefficients

S Ahamed, D Maity, D Mitra - Journal of Differential Equations, 2022 - Elsevier
In this article, we study the null controllability of linear coupled transport-parabolic systems
with variable coefficients in one space dimension. We consider coupled systems with …

On the exact controllability of a Galerkin scheme for 3D viscoelastic fluids with fractional Laplacian viscosity and anisotropic filtering

L Bisconti, D Catania - ZAMM‐Journal of Applied Mathematics …, 2024 - Wiley Online Library
We study a mathematical model describing 3D viscoelastic fluids with memory, fractional
viscosity, and regularized by means of a horizontal anisotropic filter. This regularization is …

Approximate controllability and stabilizability of a linearized system for the interaction between a viscoelastic fluid and a rigid body

D Mitra, A Roy, T Takahashi - Mathematics of Control, Signals, and …, 2021 - Springer
We study control properties of a linearized fluid–structure interaction system, where the
structure is a rigid body and where the fluid is a viscoelastic material. We establish the …

Lack of complete stabilizability of some coupled ode-parabolic systems

D Maity, D Mitra, M Ramaswamy - 2021 - hal.science
In this article, we consider several coupled ode-parabolic systems. These systems are
known to be not null controllable at any time by localized interior controls. We show that …

[CITAAT][C] Shirshendu Chowdhury, Rajib Dutta and Subrata Majumdar 2

LESOF ROGERS-MCCULLOCH