Gevrey regularity with weight for incompressible Euler equation in the half plane
Analysis of PDEs
2016-11-24 v2
Abstract
In this work we prove the weighted Gevrey regularity of solutions to the incompressible Euler equation with initial data decaying polynomially at infinity. This is motivated by the well-posedness problem of vertical boundary layer equation for fast rotating fluid. The method presented here is based on the basic weighted - estimate, and the main difficulty arises from the estimate on the pressure term due to the appearance of weight function.
Keywords
Cite
@article{arxiv.1511.00539,
title = {Gevrey regularity with weight for incompressible Euler equation in the half plane},
author = {Feng Cheng and Wei-Xi Li and Chao-Jiang Xu},
journal= {arXiv preprint arXiv:1511.00539},
year = {2016}
}