On the boundness of the Stokes semigroup in two-dimensional exterior domains.

Wolfgang Borchers; Werner Varnhorn

Displaying similar documents to “On the boundness of the Stokes semigroup in two-dimensional exterior domains.”

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Two-dimensional Navier-Stokes flow in unbounded domains.

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Navier-Stokes equations on unbounded domains with rough initial data

Peer Christian Kunstmann (2010)

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We consider the Navier-Stokes equations in unbounded domains $Ω \subseteq ℝ^{n}$ 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.

Decay estimates for the compressible Navier-Stokes equations in unbounded domains.

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Asypmtotic Behaviour in Lr for Weak Solutions of the Navier-Stokes Equations in Exterior Domains.

Hideo Kozono, T. Ogawa, H. Sohr (1992)

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