Remark on the Regularities of Kato’sSolutions to Navier-Stokes Equations with Initial Data in L^d(R^d) |
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作者姓名: | Ping ZHANG |
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作者单位: | Ping ZHANG(Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100080,China) ; |
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基金项目: | 国家自然科学基金,国家重点基础研究发展计划(973计划) |
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摘 要: | Motivated by the results of J. Y. Chemin in "J. Anal. Math., 77, 1999, 27- 50" and G. Furioli et al in "Revista Mat. Iberoamer., 16, 2002, 605-667", the author considers further regularities of the mild solutions to Navier-Stokes equation with initial data uo ∈ L^d(R^d). In particular, it is proved that if u C ∈([0, T^*); L^d(R^d)) is a mild solution of (NSv), then u(t,x)- e^vt△uo ∈ L^∞((0, T);B2/4^1,∞)~∩L^1 ((0, T); B2/4^3 ,∞) for any T 〈 T^*.
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关 键 词: | Navier-Stokes方程 解题方法 微分 分解 |
收稿时间: | 2005-03-07 |
修稿时间: | 2008-11-07 |
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