2维耗散准地转方程在齐次Morrey型Besov空间的适定性(英文)  

Well-posedness for the 2D Dissipative Quasi-geostrophic Equations in the Morrey Type Besov Space

作　　者：徐景实[1] 傅晶晶[1] 

机构地区：[1]海南师范大学数学系,海南海口571158

出　　处：《应用数学》2012年第3期624-630,共7页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China(11071064);the National Natural Science Foundation of Hainan Providence(111006)

摘　　要：本文讨论2维耗散准地转方程在齐次Morrey型Besov空间的初值问题.首先建立齐次Morrey型Besov空间的一个新特征,然后利用此特征和Kato方法,证明当初始值以齐次Morrey型Besov空间内的范数很小时,2维耗散准地转方程对时间的全局解的存在性和唯一性.In this paper,the initial value problem of the 2D dissipative quasi-geostrophic equations is considered in the homogenous Morrey type Besov space. First, a new characterization of the homogenous Morrey type Besov space is established. Then by this characterization and Kato＇s method, existence and uniqueness of the solution global in time are proved in the homogenous Morrey type Besov space with small data.

关 键 词：准地转方程 适定性 MORREY空间 BESOV空间 

分 类 号：O175.24[理学—数学]