Navier-stokes equations on unbounded domains with rough initial data

被引：0

作者：

Peer Christian Kunstmann

机构：

[1] Universität Karlsruhe,Institut für Analysis

来源：

Czechoslovak Mathematical Journal | 2010年 / 60卷

关键词：

Navier-Stokes equations; mild solutions; Stokes operator; extrapolation spaces; -functional calculus; general unbounded domains; pressure term; 35Q30; 35K55;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider the Navier-Stokes equations in unbounded domains Ω ⊆ ℝn of uniform C1,1-type. We construct mild solutions for initial values in certain extrapolation spaces associated to the Stokes operator on these domains. Here we rely on recent results due to Farwig, Kozono and Sohr, the fact that the Stokes operator has a bounded H∞-calculus on such domains, and use a general form of Kato’s method. We also obtain information on the corresponding pressure term.

引用

页码：297 / 313

页数：16

共 20 条

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