Some remarks on planar Boussinesq equations

被引：1

作者：

Cai, Xiao-jing ^{[1
,2
]}

Xue, Chun-yan ^{[3
]}

Li, Xian-jin ^{[4
]}

Liu, Ying ^{[5
]}

Jiu, Quan-sen ^{[6
]}

机构：

[1] Beijing Technol & Business Univ, Dept Math, Beijing 100048, Peoples R China

[2] Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

[3] Beijing Informat Sci & Technol Univ, Dept Math, Beijing 100101, Peoples R China

[4] Chinese Acad Sci, Inst Mech, Beijing 100190, Peoples R China

[5] Acad Armored Force Engn, Fundamental Dept, Beijing 100072, Peoples R China

[6] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China

来源：

ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES | 2012年 / 28卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Boussinesq equations; classical solutions; Schauder fixed-point theorem; NAVIER-STOKES;

D O I：

10.1007/s10255-012-0167-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main purpose of this paper is to prove the well-posedness of the two-dimensional Boussinesq equations when the initial vorticity omega (0) a L (1)(R (2)) (or the finite Radon measure space). Using the stream function form of the equations and the Schauder fixed-point theorem to get the new proof of these results, we get that when the initial vorticity is smooth, there exists a unique classical solutions for the Cauchy problem of the two dimensional Boussinesq equations.

引用

页码：525 / 534

页数：10

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