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The Navier-Stokes Equations Theory and Numerical Methods

Proceedings of a Conference held at Oberwolfach, FRG, Sept. 18-24, 1988

  • Conference proceedings
  • © 1990

Overview

Editors:
  1. John G. Heywood
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  2. Kyûya Masuda
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  3. Reimund Rautmann
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  4. Vsevolod A. Solonnikov
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1431)

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Table of contents (23 papers)

  1. Front Matter

    Pages I-VII
    Download chapter PDF

  2. Open problems in the theory of the Navier-Stokes equations for viscous incompressible flow

    • John G. Heywood
    Pages 1-22

  3. Navier-Stokes equations from the point of view of the theory of ill-posed boundary value problems

    • A. V. Fursikov
    Pages 23-39

  4. On the statistical approach to the Navier-Stokes equations

    • A. V. Fursikov
    Pages 40-48

  5. Asymptotic expansions for a flow with a dynamic contact angle

    • Dietmar Kröner
    Pages 49-59

  6. Noncompact free boundary problems for the Navier-Stokes equations

    • Konstantin Pileckas
    Pages 60-72

  7. On large time behavior of the total kinetic energy for weak solutions of the Navier-Stokes equations in unbounded domains

    • Wolfgang Borchers, Tetsuro Miyakawa
    Pages 73-83

  8. Strong solution for the Navier-Stokes flow in the half-space

    • Hideo Kozono
    Pages 84-86

  9. The problem of momentumless flow for the Navier-Stokes equations

    • V. V. Pukhnachov
    Pages 87-94

  10. Decay and stability in L p for strong solutions of the Cauchyproblem for the Navier-Stokes equations

    • Michael Wiegner
    Pages 95-99

  11. A Galerkin approximation for linear eigenvalue problems in two and three-dimensional boundary-layer flows

    • T. M. Fischer
    Pages 100-108

  12. Symmetry-breaking effects of distant sidewalls in Rayleigh-Bénard convection

    • Wayne Nagata
    Pages 109-116

  13. Applications of degenerate bifurcation equations to the taylor problem and the water wave problem

    • Hisashi Okamoto
    Pages 117-127

  14. A uniqueness criterion for the solution of the stationary Navier-Stokes equations

    • Giovanni Prouse
    Pages 128-133

  15. On decay properties of the Stokes equations in exterior domains

    • Hermann Sohr, Werner Varnhorn
    Pages 134-151

  16. On necessary and sufficient conditions for the solvability of the equations rot μ=γ and div μ=ε with μ vanishing on the boundary

    • Wolf von Wahl
    Pages 152-157

  17. On optimal constants in some inequalities

    • Waldemar Velte
    Pages 158-168

  18. Boundary-value problems for Navier-Stokes equations of viscous gas

    • A. V. Kazhikhov
    Pages 169-172

  19. On the one-dimensional Navier-Stokes equations for compressible fluids

    • Alberto Valli
    Pages 173-179

  20. On the numerical analysis of the nonstationary Navier-Stokes equations

    • Rolf Rannacher
    Pages 180-193
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Keywords

About this book

These proceedings contain original (refereed) research articles by specialists from many countries, on a wide variety of aspects of Navier-Stokes equations. Additionally, 2 survey articles intended for a general readership are included: one surveys the present state of the subject via open problems, and the other deals with the interplay between theory and numerical analysis.

Bibliographic Information

  • Book Title: The Navier-Stokes Equations Theory and Numerical Methods

  • Book Subtitle: Proceedings of a Conference held at Oberwolfach, FRG, Sept. 18-24, 1988

  • Editors: John G. Heywood, Kyûya Masuda, Reimund Rautmann, Vsevolod A. Solonnikov

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0086050

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1990

  • Softcover ISBN: 978-3-540-52770-1Published: 10 July 1990

  • eBook ISBN: 978-3-540-47141-7Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VII, 240

  • Topics: Numerical Analysis, Theoretical, Mathematical and Computational Physics

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