Fluid flow and heat transfer in porous media have been extensively studied due to their
importance in numerous industrial and environmental applications. This review provides a …

We study the time evolution of non-linear viscoelastic solids in the presence of inertia and
(self-) contact. For this problem we prove the existence of weak solutions for arbitrary times …

In this paper we discuss the motion of a beam in interaction with fluids. We allow the beam to
move freely in all coordinate directions. We consider the case of a beam situated in between …

In this paper, we study the thermo-elastodynamics of nonlinearly viscous solids in the Kelvin-
Voigt rheology where both the elastic and the viscous stress tensors comply with the frame …

A perfectly elastic beam is situated on top of a two dimensional fluid canister. The beam is
deforming in accordance to an interaction with a Navier-Stokes fluid. Hence a hyperbolic …

We obtain the local existence and uniqueness for a system describing interaction of an
incompressible inviscid fluid, modeled by the Euler equations, and an elastic plate …

We address the existence and of solutions for the Euler-plate free-boundary system
modeling an interaction of a three-dimensional inviscid fluid and an evolving plate. We …

Many biological tissues can be modeled as porous media, namely continuous media
composed of a solid skeleton filled by a fluid. In biological tissues, the fluid at stake can be …

We study step-wise time approximations of non-linear hyperbolic initial value problems. The
technique used here is a generalization of the minimizing movements method, using two …