On the Radius of Spatial Analyticity for the Inviscid Boussinesq Equations

On the Radius of Spatial Analyticity for the Inviscid Boussinesq Equations

Year:    2020

Author:    Feng Cheng, Chao-Jiang Xu

Journal of Partial Differential Equations, Vol. 33 (2020), Iss. 3 : pp. 235–248

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

Journal of Partial Differential Equations, Vol. 33 (2020), Iss. 3 : pp. 235–248

Published online:    2020-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:    Boussinesq equations analyticity radius of analyticity.

Author Details

Feng Cheng

Chao-Jiang Xu