On the radius of spatial analyticity for the inviscid Boussinesq equations
Analysis of PDEs
2019-11-25 v1
Abstract
In this paper, we study the problem of analyticity of smooth solutions of the inviscid Boussinesq equations. If the initial datum is real-analytic, the solution remains real-analytic on the existence interval. By an inductive method we can obtain lower bounds on the radius of spatial analyticity of the smooth solution.
Keywords
Cite
@article{arxiv.1911.09901,
title = {On the radius of spatial analyticity for the inviscid Boussinesq equations},
author = {Feng Cheng and Chao-Jiang Xu},
journal= {arXiv preprint arXiv:1911.09901},
year = {2019}
}