Kuntal Bhandari
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View article: Controllability issues for parabolic–elliptic systems involving nonlocal couplings
Controllability issues for parabolic–elliptic systems involving nonlocal couplings Open
This work addresses controllability properties for some systems of partial differential equations in which the main feature is the coupling through nonlocal integral terms. In the first part, we study a nonlinear parabolic–elliptic system …
View article: Weak solutions to a full compressible magnetohydrodynamic flow interacting with thermoelastic structure
Weak solutions to a full compressible magnetohydrodynamic flow interacting with thermoelastic structure Open
This paper is concerned with an interaction problem between a full compressible, electrically conducting fluid and a thermoelastic shell in a two-dimensional setting. The shell is modelled by linear thermoelasticity equations, and encompas…
View article: On an Euler-Schrödinger system appearing in laser-plasma interaction
On an Euler-Schrödinger system appearing in laser-plasma interaction Open
We consider the Cauchy problem for the barotropic Euler system coupled to a vector Schrödinger equation in the whole space. Assuming that the initial density and vector potential are small enough, and that the initial velocity is close to …
View article: Carleman estimate and controllability of a time-discrete coupled parabolic system
Carleman estimate and controllability of a time-discrete coupled parabolic system Open
International audience
View article: Asymptotic limit of the compressible Navier–Stokes system on domains with rough boundaries
Asymptotic limit of the compressible Navier–Stokes system on domains with rough boundaries Open
In this paper, we study the asymptotic behavior of solutions to the compressible Navier–Stokes system considered on a sequence of spatial domains, whose boundaries exhibit fast oscillations with amplitude and characteristic wave length pro…
View article: On the multicomponent reactive flows in moving domains
On the multicomponent reactive flows in moving domains Open
This paper is concerned with the existence of global-in-time weak solutions to the multicomponent reactive flows inside a moving domain whose shape in time is prescribed. The flow is governed by the 3D compressible Navier-Stokes-Fourier sy…
View article: Asymptotic limit of the compressible Navier-Stokes system on domains with rough boundaries
Asymptotic limit of the compressible Navier-Stokes system on domains with rough boundaries Open
In this paper, we study the asymptotic behavior of solutions to the compressible Navier-Stokes system considered on a sequence of spatial domains, whose boundaries exhibit fast oscillations with amplitude and characteristic wave length pro…
View article: CONTROLLABILITY OF A TIME-DISCRETE 1D PARABOLIC SYSTEM
CONTROLLABILITY OF A TIME-DISCRETE 1D PARABOLIC SYSTEM Open
This article investigates the $\phi(\Delta t)$--null controllability of a time-discrete parabolic system with Kirchhoff boundary conditions, using a single boundary control. We demonstrate this $\phi(\Delta t)$--null controllability by der…
View article: Global boundary null-controllability of one-dimensional semilinear heat equations
Global boundary null-controllability of one-dimensional semilinear heat equations Open
This paper addresses the boundary null-controllability of the semi-linear heat equation $ \partial_t y- \partial_{xx} y+f(y) = 0 $, $ (x, t)\in (0, 1)\times (0, T) $. Assuming that the function $ f\in \mathcal{C}^1(\mathbb{R}) $ satisfies …
View article: Insensitizing control problems for the stabilized Kuramoto–Sivashinsky system
Insensitizing control problems for the stabilized Kuramoto–Sivashinsky system Open
In this work, we address the existence of insensitizing controls for a nonlinear coupled system of fourth- and second-order parabolic equations known as the stabilized Kuramoto–Sivashinsky model. The main idea is to look for controls such …
View article: Local null-controllability of a two-parabolic nonlinear system with coupled boundary conditions by a Neumann control
Local null-controllability of a two-parabolic nonlinear system with coupled boundary conditions by a Neumann control Open
This article is concerned with the local boundary null-controll-ability of a 1-D system of two-parabolic nonlinear equations (often referred as reaction-diffusion system) with coupled boundary conditions by means of a scalar control. The c…
View article: Controllability issues for parabolic-elliptic systems involving nonlocal couplings
Controllability issues for parabolic-elliptic systems involving nonlocal couplings Open
This work addresses controllability properties for some systems of partial differential equations in which the main feature is the coupling through nonlocal integral terms. In the first part, we study a nonlinear parabolic-elliptic system …
View article: Local exact controllability to the steady states of a parabolic system with coupled nonlinear boundary conditions
Local exact controllability to the steady states of a parabolic system with coupled nonlinear boundary conditions Open
International audience
View article: Weak solutions to the heat conducting compressible self-gravitating flows in time-dependent domains
Weak solutions to the heat conducting compressible self-gravitating flows in time-dependent domains Open
In this paper, we consider the heat-conducting compressible self-gravitating fluids in time-dependent domains, which typically describe the motion of viscous gaseous stars. The flow is governed by the 3-D Navier-Stokes-Fourier-Poisson equa…
View article: Insensitizing control problem for the Hirota-Satsuma system of KdV-KdV type
Insensitizing control problem for the Hirota-Satsuma system of KdV-KdV type Open
This paper is concerned with the existence of insensitizing controls for a nonlinear coupled system of two Korteweg-de Vries (KdV) equations, typically known as the Hirota-Satsuma system. The idea is to look for controls such that some fun…
View article: Local null-controllability of a system coupling Kuramoto-Sivashinsky-KdV and elliptic equations
Local null-controllability of a system coupling Kuramoto-Sivashinsky-KdV and elliptic equations Open
This paper deals with the null-controllability of a system of {\em mixed parabolic-elliptic pdes} at any given time $T>0$. More precisely, we consider the \textit{Kuramoto-Sivashinsky--Korteweg-de Vries equation} coupled with a second orde…
View article: Boundary null-controllability of 1d linearized compressible Navier-Stokes system by one control force
Boundary null-controllability of 1d linearized compressible Navier-Stokes system by one control force Open
In this article, we study the boundary null-controllability properties of the one-dimensional linearized (around $(Q_0,V_0)$ with constants $Q_0>0, V_0>0$) compressible Navier-Stokes equations in the interval $(0,1)$ when a control functio…
View article: Insensitizing control problems for the stabilized Kuramoto-Sivashinsky system
Insensitizing control problems for the stabilized Kuramoto-Sivashinsky system Open
In this work, we address the existence of insensitizing controls for a nonlinear coupled system of fourth- and second-order parabolic equations known as the stabilized Kuramoto-Sivashinsky model. The main idea is to look for controls such …
View article: Boundary controllability of some coupled parabolic systems with Robin or Kirchhoff conditions
Boundary controllability of some coupled parabolic systems with Robin or Kirchhoff conditions Open
Dans cette thèse, on étudie la contrôlabilité à zéro par le bord de quelques systèmes paraboliques linéaires couplés par des termes de couplage intérieur et/ou au bord. Le premier chapitre est une introduction à l'ensemble du manuscrit. Da…
View article: Boundary null-controllability of coupled parabolic systems with Robin conditions
Boundary null-controllability of coupled parabolic systems with Robin conditions Open
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