On the analyticity and gevrey regularity of solutions to the three-dimensional inviscid Boussinesq equations in a half space

In this paper, we address the problem of analyticity up to the boundary to the 3D inviscid Boussinesq equations in a half space $\mathbb{R}^3_+$. Furthermore, we prove the persistence of Gevrey regularity and obtain lower bounds on the radius of Gevrey regularity.

Keywords

Boussinesq equations, analyticity radius, Gevrey class, half space

2010 Mathematics Subject Classification

35B65, 35Q35, 76B03

Full Text (PDF format)

Received 28 February 2021

Received revised 14 July 2021

Accepted 30 July 2021

Published 28 January 2022