English

On the global classical solutions for the generalized SQG equation

Analysis of PDEs 2021-04-23 v1

Abstract

In this paper, we study the existence of global classical solutions to the generalized surface quasi-geostrophic equation. By using the variational method, we provide some new families of global classical solutions for to the generalized surface quasi-geostrophic equation. These solutions mainly consist of rotating solutions and travelling-wave solutions.

Keywords

Cite

@article{arxiv.2104.11048,
  title  = {On the global classical solutions for the generalized SQG equation},
  author = {Daomin Cao and Guolin Qin and Weicheng Zhan and Changjun Zou},
  journal= {arXiv preprint arXiv:2104.11048},
  year   = {2021}
}
R2 v1 2026-06-24T01:25:51.764Z