无粘Boussinesq方程的空间解析半径

Pub Date : 2019-11-22 DOI:10.4208/jpde.v33.n3.4

F. Cheng, Chao-Jiang Xu

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引用次数: 0

摘要

本文研究无粘Boussinesq方程光滑解的可解析性问题。如果初始基准是实解析的，则解在存在区间上保持实解析。用归纳的方法得到了光滑解空间解析半径的下界。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the Radius of Spatial Analyticity for the Inviscid Boussinesq Equations

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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