Well- posedness for the 2D dissipative quasi-geostrophic equations in the Besov space  

作　　者：ZHANG Zhifei 

机构地区：[1]School of Mathematical Sciences,Peking University,Beijing 100871,China

出　　处：《Science China Mathematics》2005年第12期1646-1655,共10页中国科学：数学（英文版）

摘　　要：In this paper, we consider the initial value problem of the 2D dissipative quasi-geostrophic equations. Existence and uniqueness of the solution global in time are proved in the homogenous Besov space Bp,∞ s p with small data when 1 /2<α≤1,2/2α-1< p<∞,sp=2/p-(2α-1). Our proof is based on a new characterization of the homogenous Besov space and Kato's method.In this paper, we consider the initial value problem of the 2D dissipative quasigeostrophic equations. Existence and uniqueness of the solution global in time are proved in the homogenous Besov space Bsp,p∞with small data when1/2 ＜α≤ 1, 2/2α- 1 ＜ p ＜∞, sp = 2/p - (2α - 1).Our proof is based on a new characterization of the homogenous Besov space and Kato's method.

关 键 词：QUASI-GEOSTROPHIC equation well-posedness Besov space. 

分 类 号：N[自然科学总论]