The Navier-Stokes Equations Theory and Numerical Methods [electronic resource] : Proceedings of a Conference held at Oberwolfach, FRG, Sept. 18–24, 1988 / edited by John G. Heywood, Kyûya Masuda, Reimund Rautmann, Vsevolod A. Solonnikov.

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 conditions in ?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.

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.