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arXiv · 2101.09578

Variational methods for fluid-structure interaction and porous media

B. Benesova·M. Kampschulte·S. Schwarzacher
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Abstract

In this work we consider a poroelastic flexible material that may deform largely which is situated in an incompressible fluid driven by the Navier-Stokes equations in two or three space dimensions. By a variational approach we show existence of weak solutions for a class of such coupled systems. We consider the unsteady case, this means that the PDE for the poroelastic solid involves the Frechet derivative of a non-convex functional as well as (second order in time) inertia terms.

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B. Benesova, M. Kampschulte, S. Schwarzacher. 2021-01-23. Variational methods for fluid-structure interaction and porous media. https://arxiv.org/abs/2101.09578

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