English

Smooth traveling-wave solutions to the inviscid surface quasi-geostrophic equations

Analysis of PDEs 2020-10-20 v1

Abstract

In a recent article by Gravejat and Smets, it is built smooth solutions to the inviscid surface quasi-geostrophic equation that have the form of a traveling wave. In this article we work back on their construction to provide solution to a more general class of quasi-geostrophic equation where the half-laplacian is replaced by any fractional laplacian.

Keywords

Cite

@article{arxiv.2010.09289,
  title  = {Smooth traveling-wave solutions to the inviscid surface quasi-geostrophic equations},
  author = {Ludovic Godard-Cadillac},
  journal= {arXiv preprint arXiv:2010.09289},
  year   = {2020}
}