Navier—Stokes Equations in Irregular Domains

  • Liudas Stupelis
Book

Part of the Mathematics and Its Applications book series (MAIA, volume 326)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Liudas Stupelis
    Pages 1-54
  3. Liudas Stupelis
    Pages 55-175
  4. Liudas Stupelis
    Pages 363-517
  5. Back Matter
    Pages 518-568

About this book

Introduction

The analytical basis of Navier-Stokes Equations in Irregular Domains is formed by coercive estimates, which enable proofs to be given of the solvability of the boundary value problems for Stokes and Navier-Stokes equations in weighted Sobolev and Hölder spaces, and the investigation of the smoothness of their solutions. This allows one to deal with the special problems that arise in the presence of edges or angular points in the plane case, at the boundary or noncompact boundaries. Such problems cannot be dealt with in any of the usual ways.
Audience: Graduate students, research mathematicians and hydromechanicians whose work involves functional analysis and its applications to Navier-Stokes equations.

Keywords

Boundary value problem Navier-Stokes equation Smooth function functional analysis

Authors and affiliations

  • Liudas Stupelis
    • 1
  1. 1.Institute of Mathematics and InformaticsVilniusLithuania

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-015-8525-5
  • Copyright Information Springer Science+Business Media B.V. 1995
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-4562-1
  • Online ISBN 978-94-015-8525-5
  • About this book
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