The Navier-Stokes Equations over Unbounded Domains

  • U. U. Kähler
Part of the International Society for Analysis, Applications and Computation book series (ISAA, volume 8)


In this paper we apply an operator calculus over unbounded domains, whose complement contains a non-empty open set, to solve the linear Stokes problem in scales of W q k (Ω)-spaces over this kind of unbounded domains. This result will be used to investigate the Navier-Stokes equations for steady flows by means of a Banach contraction principle.


Steady Flow Dirac Operator Unbounded Domain Lipschitz Domain Clifford Algebra 
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© Kluwer Academic Publishers 2000

Authors and Affiliations

  • U. U. Kähler
    • 1
  1. 1.Departamento de MatemáticaUniversidade de AveiroAveiroPortugal

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