Navier-Stokes equations in irregular domains

Author(s)

Bibliographic Information

Navier-Stokes equations in irregular domains

by L. Stupelis

(Mathematics and its applications, v. 326)

Kluwer Academic Publisher, c1995

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Note

"This is an updated and revised translation of the original Russian work The Boundary Value Problems for the Systems of Navier-Stokes Equations in Piecewise Smooth Domains, Vilnius, Mokslas, c1992" -- T.p. verso

References: p. 550-558

Includes subject and notation indexes

Description and Table of Contents

Description

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 Hoelder 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.

Table of Contents

Preface. 1. Preliminaries. 2. Boundary Value Problems for the Stokes System. 3. Boundary Value Problems in Plane and Bihedral Angles. 4. The First Boundary Value Problem in a Given Domain. 5. Steady Motion of a Fluid with a Free Surface. Appendix 1: The Green Matrices on the Half-Space and Half-Plane. Appendix 2: Weighted Schauder Estimates of Solutions to Elliptic Boundary Value Problems. References. Subject Index. Notation Index.

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Details

  • NCID
    BA25368511
  • ISBN
    • 0792335090
  • LCCN
    95016342
  • Country Code
    ne
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Original Language Code
    rus
  • Place of Publication
    Dordrecht ; Boston
  • Pages/Volumes
    xv, 566 p.
  • Size
    25 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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