We study an unsteady nonlinear fluid–structure interaction problem which is a simplified
model to describe blood flow through viscoelastic arteries. We consider a Newtonian …

Fluid–structure interaction (FSI) is among the most popular and intriguing problems in
applied sciences. Their range of interest covers many significant areas of research including …

We study a nonlinear, unsteady, moving boundary, fluid–structure interaction (FSI) problem
in which the structure is composed of two layers: a thick layer, and a thin layer which serves …

We study a nonlinear, moving boundary fluid–structure interaction (FSI) problem between an
incompressible, viscous Newtonian fluid, modeled by the 2D Navier–Stokes equations, and …

We address a fluid–structure system which consists of the incompressible Navier–Stokes
equations and a damped linear wave equation defined on two dynamic domains. The …

The long-time existence of a weak solution is proved for a nonlinear, fluid-structure
interaction (FSI) problem between an incompressible, viscous fluid and a semilinear …

We study an unsteady nonlinear fluid–structure interaction problem. We consider a
Newtonian incompressible two-dimensional flow described by the Navier–Stokes equations …

Abstract We study the Navier–Stokes equations governing the motion of an isentropic
compressible fluid in three dimensions interacting with a flexible shell of Koiter type. The …

In this paper, we study a nonlinear interaction problem between a thermoelastic shell and a
heat-conducting fluid. The shell is governed by linear thermoelasticity equations and …

Moving boundary problems are ubiquitous in nature, technology, and engineering.
Examples include the human heart and heart valves interacting with blood flow …