Euler Equations in Sobolev conormal spaces
Analysis of PDEs
2024-07-26 v1
Abstract
We consider the three-dimensional incompressible Euler equations in Sobolev conormal spaces and establish local-in-time existence and uniqueness in the half-space or channel. The initial data is Lipschitz having four square-integrable conormal derivatives and two bounded conormal derivatives. We do not impose any integrability or differentiability assumption for the normal derivative.
Cite
@article{arxiv.2407.18149,
title = {Euler Equations in Sobolev conormal spaces},
author = {Mustafa Sencer Aydın and Igor Kukavica},
journal= {arXiv preprint arXiv:2407.18149},
year = {2024}
}