7 papers
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…
Motion of a rigid body in a compressible Fluid with Navier-slip boundary condition
S. Necasova, M. Ramaswamy, A. Roy +1
In this work, we study the motion of a rigid body in a bounded domain which is filled with a compressible isentropic fluid. We consider the Navier-slip boundary condition at the in…
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…
Self-propelled motion of a rigid body inside a density dependent incompressible fluid
Sarka Necasova, Mythily Ramaswamy, Arnab Roy +1
This paper is devoted to the existence of a weak solution to a system describing a self-propelled motion of a rigid body in a viscous fluid in the whole . The fluid i…
Dissipative solutions to a system for the flow of magnetoviscoelastic materials
Martin Kalousek, Anja Schlömerkemper
We address the question of global in time existence of solutions to a magnetoviscoelastic system with general initial data. We show that the notion of dissipative solutions allows…