摘要
The well-posedness of generalized Navier-Stokes equations with initial data in some critical homogeneous Besov spaces and in some critical Q spaces was known. In this paper, we establish a wavelet characterization of Besov type Morrey spaces under the action of semigroup. As an application, we obtain the well-posedness of smooth solution for the generalized Navier-Stokes equations with initial data in some critical homogeneous Besov type Morrey spaces (Bp,pγ1,γ2)n (12<β<1, γ 1-γ 2=1-2β), 1<p≤2 and np+2β-2<γ2<np or 2<p<∞, and max{np+2β-2,β-1}<γ2<np, with divergence free. These critical homogeneous Besov type Morrey spaces are larger than corresponding classical Besov spaces and cover Q spaces.
原文 | ???core.languages.en_GB??? |
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頁(從 - 到) | 804-846 |
頁數 | 43 |
期刊 | Journal of Differential Equations |
卷 | 254 |
發行號 | 2 |
DOIs | |
出版狀態 | 已出版 - 15 1月 2013 |