142 citations · 903 across the 31 of their papers we have counts for
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Weak solutions and singular limits for a compressible fluid-structure interaction problem with slip boundary conditions
Yadong Liu, Sourav Mitra, Šárka Nečasová
We study a system describing the compressible barotropic fluids interacting with (visco) elastic solid shell/plate. In particular, the elastic structure is part of the moving bound…
Existence of weak solution for a compressible multicomponent fluid structure interaction problem
Martin Kalousek, Sourav Mitra, Šárka Nečasová
We analyze a system of PDEs governing the interaction between two compressible mutually noninteracting fluids and a shell of Koiter type encompassing a time dependent 3D domain fil…
Strong well-posedness, stability and optimal control theory for a mathematical model for magneto-viscoelastic fluids
Harald Garcke, Patrik Knopf, Sourav Mitra +1
In this article, we study the strong well-posedness, stability and optimal control of an incompressible magneto-viscoelastic fluid model in two dimensions. The model consists of an…
Existence of weak solutions to a diffuse interface model involving magnetic fluids with unmatched densities
Martin Kalousek, Sourav Mitra, Anja Schlömerkemper
In this article we prove the global existence of weak solutions for a diffuse interface model in a bounded domain (both in 2D and 3D) involving incompressible magnetic fluids with…
Global existence of weak solutions to a diffuse interface model for magnetic fluids
Martin Kalousek, Sourav Mitra, Anja Schlömerkemper
This article is devoted to the derivation and analysis of a system of partial differential equations modeling a diffuse interface flow of two Newtonian incompressible magnetic flui…
Observability and unique continuation of the adjoint of a linearized compressible fluid-structure model in a 2d channel
Sourav Mitra
Our objective is to study the observability and unique continuation property of the adjoint of a linearized compressible fluid structure interaction model in a 2D channel. Concerni…
Carleman estimate for an adjoint of a damped beam equation and an application to null controllability
Sourav Mitra
In this article we consider a control problem of a linear Euler-Bernoulli damped beam equation with potential in dimension one with periodic boundary conditions. We derive a new Ca…
Local existence of Strong solutions for a fluid-structure interaction model
Sourav Mitra
We are interested in studying a system coupling the compressible Navier-Stokes equations with an elastic structure located at the boundary of the fluid domain. Initially the fluid…
Stabilization of the non-homogeneous Navier-Stokes equations in a 2d channel
Sourav Mitra
In this article we study the local stabilization of the non-homogeneous Navier- Stokes equations in a 2d channel around Poiseuille flow. We design a feedback control of the velocit…