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Global-in-time Weak Solutions for an Inviscid Free Surface Fluid-structure Problem Without Damping by Alazard, Thomas; Kukavica, Igor; Tuffaha, Amjad is a scholarly article available to read on EtoBox.

What is Global-in-time Weak Solutions for an Inviscid Free Surface Fluid-structure Problem Without Damping about?

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.

Author

Alazard, Thomas; Kukavica, Igor; Tuffaha, Amjad

Published

2024

Language

EN