The Stokes and Navier-Stokes Equations in Exterior Domains

Moving Domains and Decay Properties

By (author) David Wegmann

Book cover: The Stokes and Navier-Stokes Equations in Exterior Domains

Extent: 131, 131 pages

Publisher: Logos Verlag Berlin

Subjects: Technical Sciences: Computer Science, Engineering, IT, & Math

Language: English

Paperback (Published)

(January 2019)

ISBN: 9783832548391

5.71 x 8.27 inches

Price: $51.00

In stock

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In the first part of this thesis we established a maximal regularity result to the Stokes equations in exterior domains with moving boundary. This leads to existence of solutions to the Navier-Stokes equations globally in time for small data. Secondly, we consider Leray’s problem on the decay of weak solutions to the Navier-Stokes equations in an exterior domain with non-homogeneous Dirichlet boundary data. It is shown that the solution decays polynomially.

  • By (author) David Wegmann

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