A NOTE ON GLOBAL WELL-POSEDNESS OF SOLUTIONS TO BOUSSINESQ EQUATIONS WITH FRACTIONAL DISSIPATION  

作　　者：叶专 

机构地区：[1]School of Mathematical Sciences, Beijing Normal University and Laboratory of Mathematics and Complex Systems,Ministry of Education

出　　处：《Acta Mathematica Scientia》2015年第1期112-120,共9页数学物理学报（B辑英文版）

基　　金：partially supported by NSFC(11171026;11371059);BNSF(2112023);the Fundamental Research Funds for the Central Universities of China

摘　　要：The goal of this paper is to consider the global well-posedness to n-dimensional （n 〉 3） Boussinesq equations with fractional dissipation. More precisely, it is proved that there exists a unique global regular solution to the Boussinesq equations provided the real parameter α satisfies α≥1/2 ＋n/4.The goal of this paper is to consider the global well-posedness to n-dimensional （n 〉 3） Boussinesq equations with fractional dissipation. More precisely, it is proved that there exists a unique global regular solution to the Boussinesq equations provided the real parameter α satisfies α≥1/2 ＋n/4.

关 键 词：Boussinesq equations fractional Laplacian global regularity 

分 类 号：O175[理学—数学]