On analyticity up to the boundary for critical quasi-geostrophic equations
Analysis of PDEs
2021-09-15 v2
Abstract
We study the Cauchy problem for the quasi-geostrophic equations with the critical dissipation in the two dimensional half space under the homogeneous Dirichlet boundary condition. We show the global existence, the uniqueness and the analyticity of solutions, and the real analyticity up to the boundary is obtained. We will show one of natural ways to estimate the nonlinear term for functions satisfying the Dirichlet boundary condition.
Keywords
Cite
@article{arxiv.2103.13005,
title = {On analyticity up to the boundary for critical quasi-geostrophic equations},
author = {Tsukasa Iwabuchi},
journal= {arXiv preprint arXiv:2103.13005},
year = {2021}
}
Comments
17 pages