Existence of time-periodic strong solutions to a fluid-structure system

2018/06/24 by Casanova, Jean-Jérôme · 1 citation
#35B10 #35Q30 #74F10 #76D03 #76D05 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1806.09173

Abstract

We study a nonlinear coupled fluid-structure system modelling the blood flow through arteries. The fluid is described by the incompressible Navier-Stokes equations in a 2D rectangular domain where the upper part depends on a structure satisfying a damped Euler-Bernoulli beam equation. The system is driven by time-periodic source terms on the inflow and outflow boundaries. We prove the existence of time-periodic strong solutions for this problem under smallness assumptions for the source terms.

Cited by

• Strong time-periodic solutions to a multilayered fluid-structure interaction problem

Related

• Time-periodic solutions to the Navier--Stokes equations on the whole space including the two-dimensional case
• Local existence of Strong solutions for a fluid-structure interaction model
• Global Weak Solutions to a Time-Periodic Body-Liquid Interaction Problem
• On the motion of a compressible viscous fluid driven by time periodic inflow/outflow boundary conditions
• Time-periodic weak solutions for an incompressible Newtonian fluid interacting with an elastic plate