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Paper detail

Variational methods for fluid-structure interaction and porous media

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.

preprint2022arXivOpen access
B. BenesovaM. KampschulteS. Schwarzacher
math.AP
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B. BenesovaM. KampschulteS. Schwarzacher

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