Weighted L2-spaces and strong solutions of the Navier-Stokes equations in R3

被引：0
|
作者：
Brandolese, L [1 ]
机构：
[1] Univ Lyon 1, Inst Girard Desargues, F-69622 Villeurbanne, France
来源：
TRENDS IN PARTIAL DIFFERENTIAL EQUATIONS OF MATHEMATICAL PHYSICS | 2005年 / 61卷
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D O I：
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中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the velocity field u(x, t) of a Navier-Stokes flow in the whole space. We give a persistence result in a subspace of L-2 (R-3, (1 + vertical bar x vertical bar(2))(5/2) dx), which allows us to fill the gap between previously known results in the weighted-L-2 setting and those on the pointwise decay of u at infinity.
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页码：27 / 35
页数：9
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