54 citations · 72 across the 3 of their papers we have counts for
6 papers · 1 filter
Controllability of a Fluid-Structure Interaction System Governed by the Heat and Damped Beam Equations
Mehdi Badra, Jérémi Dardé, Emmanuel Zongo
In this article, we study the null-controllability and observability properties of a bi-dimensio\-nal fluid-structure interaction system, governed by the heat equation coupled with…
Gevrey regularity for a system coupling the Navier-Stokes system with a beam: the non-flat case
Mehdi Badra, Takéo Takahashi
We consider a bi-dimensional viscous incompressible fluid in interaction with a beam located at its boundary. We show the existence of strong solutions for this fluid-structure int…
Stability estimates for Navier-Stokes equations and application to inverse problems
Mehdi Badra, Fabien Caubet, Jérémi Dardé
In this work, we present some new Carleman inequalities for Stokes and Oseen equations with non-homogeneous boundary conditions. These estimates lead to log type stability inequali…
Local controllability to trajectories for non-homogeneous 2-d incompressible Navier-Stokes equations
Mehdi Badra, Sylvain Ervedoza, Sergio Guerrero
The goal of this article is to show a local exact controllability to smooth (C2) trajectories for the 2-d density dependent incompressible Navier-Stokes equations. Our controllabil…
On the Fattorini Criterion for Approximate Controllability and Stabilizability of Parabolic Systems
Mehdi Badra, Takéo Takahashi
In this paper, we consider the well-known Fattorini's criterion for approximate controllability of infinite dimensional linear systems of type . We precise the result pr…
A Singular Parabolic Equation: Existence, Stabilization
Mehdi Badra, Kaushik Bal, Jacques Giacomoni
We investigate the following quasilinear parabolic and singular equation, {equation} \tag{\rm P} \{{aligned} & u_t-Δ_p u =\frac{1}{u^δ}+f(x,u)\;\text{in}\,(0,T)\timesΩ, & u =0\…