Well-posedness for the 2D dissipative quasigeostrophic equations in the Besov space期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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

Authors:	Email author" target="_blank">Zhang?Zhifei Email author

Institution:	School of Mathematical Sciences,Peking University,Beijing 100871,China

Abstract:	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 $\dot B_{p,\infty }^{Sp}$ with small data when $\frac{1}{2} < \alpha \leqslant 1,\frac{2}{{2\alpha - 1}} < p < \infty ,s_p = \frac{2}{p} - (2\alpha - 1)$ . Our proof is based on a new characterization of the homogenous Besov space and Kato’s method.

Keywords:	quasi-geostrophic equation well-posedness Besov space
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