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 Email
Chao-Jiang Xu Email