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arXiv · 1806.09173

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

Jean-Jérôme Casanova
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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.

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Jean-Jérôme Casanova. 2018-06-24. Existence of time-periodic strong solutions to a fluid-structure system. https://arxiv.org/abs/1806.09173

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