The Navier-Stokes Equations Theory and Numerical Methods Proceedings of a Conference held at Oberwolfach, FRG, Sept. 18-24, 1988

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.

Open problems in the theory of the Navier-Stokes equations for viscous incompressible flow.- Navier-Stokes equations from the point of view of the theory of ill-posed boundary value problems.- On the statistical approach to the Navier-Stokes equations.- Asymptotic expansions for a flow with a dynamic contact angle.- Noncompact free boundary problems for the Navier-Stokes equations.- On large time behavior of the total kinetic energy for weak solutions of the Navier-Stokes equations in unbounded domains.- Strong solution for the Navier-Stokes flow in the half-space.- The problem of momentumless flow for the Navier-Stokes equations.- Decay and stability in L p for strong solutions of the Cauchyproblem for the Navier-Stokes equations.- A Galerkin approximation for linear eigenvalue problems in two and three-dimensional boundary-layer flows.- Symmetry-breaking effects of distant sidewalls in Rayleigh-Bénard convection.- Applications of degenerate bifurcation equations to the taylor problem and the water wave problem.- A uniqueness criterion for the solution of the stationary Navier-Stokes equations.- On decay properties of the Stokes equations in exterior domains.- On necessary and sufficient conditions for the solvability of the equations rot ?=? and div ?=? with ? vanishing on the boundary.- On optimal constants in some inequalities.- Boundary-value problems for Navier-Stokes equations of viscous gas.- On the one-dimensional Navier-Stokes equations for compressible fluids.- On the numerical analysis of the nonstationary Navier-Stokes equations.- Numerical methods for the Navier-Stokes equations with an unknown boundary between two viscous incompressible fluids.- Curl-conforming finite element methods for Navier-Stokes equations with non-standard boundary conditionsin ?3.- On lagrangean methods and volterra integral equations of the first kind for incompressible Navier Stokes problems.- Numerical simulation and experimental verification of cavity flows.