Navier-Stokes equations on unbounded domains with rough initial data

Title:

Navier-Stokes equations on unbounded domains with rough initial data

Creator:

Kunstmann, Peer Christian

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:9bbaaa04-957d-4417-abc9-34de9e4a10c7
uuid:9bbaaa04-957d-4417-abc9-34de9e4a10c7

Subject:

Navier-Stokes equations, mild solutions, Stokes operator, extrapolation spaces, $H^\infty $-functional calculus, general unbounded domains;, and pressure term

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

We consider the Navier-Stokes equations in unbounded domains $\Omega \subseteq \mathbb R ^n$ of uniform $C^{1,1}$-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^\infty $-calculus on such domains, and use a general form of Kato's method. We also obtain information on the corresponding pressure term.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

297-313

Source:

Czechoslovak Mathematical Journal | 2010 Volume:60 | Number:2

Harvested from:

CDK

Metadata only:

false