Book Volume 1431 1990

The Navier-Stokes Equations Theory and Numerical Methods

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

ISBN: 978-3-540-52770-1 (Print) 978-3-540-47141-7 (Online)

Table of contents (23 chapters)

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  1. Front Matter

    Pages I-VII

  2. Chapter

    Pages 1-22

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

  3. Chapter

    Pages 23-39

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

  4. Chapter

    Pages 40-48

    On the statistical approach to the Navier-Stokes equations

  5. Chapter

    Pages 49-59

    Asymptotic expansions for a flow with a dynamic contact angle

  6. Chapter

    Pages 60-72

    Noncompact free boundary problems for the Navier-Stokes equations

  7. Chapter

    Pages 73-83

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

  8. Chapter

    Pages 84-86

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

  9. Chapter

    Pages 87-94

    The problem of momentumless flow for the Navier-Stokes equations

  10. Chapter

    Pages 95-99

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

  11. Chapter

    Pages 100-108

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

  12. Chapter

    Pages 109-116

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

  13. Chapter

    Pages 117-127

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

  14. Chapter

    Pages 128-133

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

  15. Chapter

    Pages 134-151

    On decay properties of the Stokes equations in exterior domains

  16. Chapter

    Pages 152-157

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

  17. Chapter

    Pages 158-168

    On optimal constants in some inequalities

  18. Chapter

    Pages 169-172

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

  19. Chapter

    Pages 173-179

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

  20. Chapter

    Pages 180-193

    On the numerical analysis of the nonstationary Navier-Stokes equations

  21. Chapter

    Pages 194-200

    Numerical methods for the Navier-Stokes equations with an unknown boundary between two viscous incompressible fluids

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