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arXiv · 2404.09820

Global-in-time weak solutions for an inviscid free surface fluid-structure problem without damping

Thomas Alazard·Igor Kukavica·Amjad Tuffaha
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Abstract

We consider the Cauchy problem for an inviscid irrotational fluid on a domain with a free boundary governed by a fourth order linear elasticity equation. We first derive the Craig-Sulem-Zakharov formulation of the problem and then establish the existence of a global weak solution in two space dimensions, in the general case without a damping term, for any initial data with finite energy.

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Thomas Alazard, Igor Kukavica, Amjad Tuffaha. 2024-04-15. Global-in-time weak solutions for an inviscid free surface fluid-structure problem without damping. https://arxiv.org/abs/2404.09820

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