Smooth travelling-wave solutions to the inviscid surface quasi-geostrophic equation
Analysis of PDEs
2017-05-22 v1
Abstract
We construct families of smooth travelling-wave solutions to the inviscid surface quasi-geostrophic equation (SQG). These solutions can be viewed as the equivalents for this equation of the vortex anti-vortex pairs in the context of the incompressible Euler equation. Our argument relies on the stream function formulation and eventually amounts to solving a fractional nonlinear elliptic equation by variational methods.
Keywords
Cite
@article{arxiv.1705.06935,
title = {Smooth travelling-wave solutions to the inviscid surface quasi-geostrophic equation},
author = {Philippe Gravejat and Didier Smets},
journal= {arXiv preprint arXiv:1705.06935},
year = {2017}
}