On the Radius of Spatial Analyticity for the Inviscid Boussinesq Equations

Authors

  • Feng Cheng Hubei Key Laboratory of Applied Mathematics, Faculty of Mathematics and Statistics, Hubei University, Wuhan 430062, China
  • Chao-Jiang Xu Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China

DOI:

https://doi.org/10.4208/jpde.v33.n3.4

Keywords:

Boussinesq equations, analyticity, radius of analyticity.

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 a lower bound on the radius of spatial analyticity of the smooth solution.

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Published

2020-06-23

Issue

Vol. 33 No. 3 (2020)

Section

Articles