Global-in-time weak solutions for an inviscid free surface fluid-structure problem without damping
Analysis of PDEs
2024-04-16 v1
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.
Keywords
Cite
@article{arxiv.2404.09820,
title = {Global-in-time weak solutions for an inviscid free surface fluid-structure problem without damping},
author = {Thomas Alazard and Igor Kukavica and Amjad Tuffaha},
journal= {arXiv preprint arXiv:2404.09820},
year = {2024}
}