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Navier-Stokes Equations in Irregular Domains

  • Book
  • © 1995

Overview

Authors:
  1. Liudas Stupelis

    1. Institute of Mathematics and Informatics, Vilnius, Lithuania

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

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-xv
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  2. Preliminaries

    • Liudas Stupelis
    Pages 1-54

  3. Boundary Value Problems for the Stokes System

    • Liudas Stupelis
    Pages 55-175

  4. Boundary Value Problems in Plane and Bihedral Angles

    • Liudas Stupelis
    Pages 176-294

  5. The First Boundary Value Problem in a Given Domain

    • Liudas Stupelis
    Pages 295-362

  6. Steady Motion of a Fluid with a Free Surface

    • Liudas Stupelis
    Pages 363-517

  7. Back Matter

    Pages 518-568
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Keywords

About this book

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.

Authors and Affiliations

  • Institute of Mathematics and Informatics, Vilnius, Lithuania

    Liudas Stupelis

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