ANALYTICAL SMOOTHING EFFECT OF SOLUTION FOR THE BOUSSINESQ EQUATIONS

作     者：Feng CHENG Chao jiang XU 程峰;徐超江

作者机构：Hubei Key Laboratory of Applied Mathematics School of Mathematics and StatisticsHubei University School of Mathematics and Statistics Wuhan University Universite de Rouen CNRS UMR 6085 Laboratoire de Mathématiques 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2019年第39卷第1期

页      面：165-179页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported partially by "The Fundamental Research Funds for Central Universities of China" 

主　　题：analyticity smoothing effect of solutions Boussinesq equation 

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.