Stokes and Navier-Stokes equations with Robin boundary conditions in a half-space

Description

We study the initial-boundary value problem for the Stokes equations with Robin boundary conditions in the half-space Rn+. It is proved that the associated Stokes operator is sectorial and admits a bounded H∞-calculus on Lq0(Rn+). As an application we prove also a local existence result for the nonlinear initial value problem of the Navier-Stokes equations with Robin boundary conditions.

Journal

Keywords

Details 詳細情報について

  • CRID
    1390290699771992960
  • NII Article ID
    120006459346
  • DOI
    10.14943/83786
  • HANDLE
    2115/69440
  • Text Lang
    en
  • Article Type
    departmental bulletin paper
  • Data Source
    • JaLC
    • IRDB
    • CiNii Articles
  • Abstract License Flag
    Allowed

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