ANALYTICAL SMOOTHING EFFECT OF SOLUTION FOR THE BOUSSINESQ EQUATIONS

被引：7

作者：

Cheng, Feng ^{[1
,2
]}

Xu, Chaojiang ^{[3
,4
]}

机构：

[1] Hubei Univ, Hubei Key Lab Appl Math, Wuhan 430062, Hubei, Peoples R China

[2] Hubei Univ, Sch Math & Stat, Wuhan 430062, Hubei, Peoples R China

[3] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China

[4] Univ Rouen, Lab Math, CNRS, UMR 6085, F-76801 St Etienne Du Rouvray, France

来源：

ACTA MATHEMATICA SCIENTIA | 2019年 / 39卷 / 01期

关键词：

analyticity; smoothing effect of solutions; Boussinesq equation; GEVREY CLASS REGULARITY; GLOBAL WELL-POSEDNESS; BLOW-UP CRITERION; LOCAL EXISTENCE;

D O I：

10.1007/s10473-019-0114-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we study the analytical smoothing effect of Cauchy problem for the incompressible Boussinesq equations. Precisely, we use the Fourier method to prove that the Sobolev H-1-solution to the incompressible Boussinesq equations in periodic domain is analytic for any positive time. So the incompressible Boussinesq equations admit exactly same smoothing effect properties of incompressible Navier-Stokes equations.

引用

页码：165 / 179

页数：15

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