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arXiv · 1911.09901

On the radius of spatial analyticity for the inviscid Boussinesq equations

Feng Cheng·Chao-Jiang Xu
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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.

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Feng Cheng, Chao-Jiang Xu. 2019-11-22. On the radius of spatial analyticity for the inviscid Boussinesq equations. https://arxiv.org/abs/1911.09901

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