Overview

This volume collects the articles presented at the Third International Conference on “The Navier-Stokes Equations: Theory and Numerical Methods”, held in Oberwolfach, Germany. The articles are important contributions to a wide variety of topics in the Navier-Stokes theory: general boundary conditions, flow exterior to an obstacle, conical boundary points, the controllability of solutions, compressible flow, non-Newtonian flow, magneto-hydrodynamics, thermal convection, the interaction of fluids with elastic solids, the regularity of solutions, and Rothe's method of approximation.Contents: The 3D Stokes Systems in Domains with Conical Boundary Points (P Deuring) Weighted Estimates for the Oseen Equations and the Navier–Stokes Equations in Exterior Domains (R Farwig & H Sohr) On Boundary Zero Controllability of the Three-Dimensional Navier–Stokes Equations (A V Fursikov) Nonhomogeneous Navier–Stokes Problems in Lp Sobolev Spaces Over Exterior and Interior Domains (G Grubb) Lp -Decay Rates for Strong Solutions of a Perturbed Navier–Stokes–Systems in R3 (H Ch Grunau) On Two-Dimensional Equations of Thermal Convection in the Presence of the Dissipation Function (Y Kagei) On Decay Properties of Solutions to Stokes System in Exterior Domains (P Maremonti & V A Solonnikov) Compactness of Steady Compressible Isentropic Navier–Stokes Equations via the Decomposition Method (the Whole 3-D Space) (A Novotny) Convergence Rates in H 2, r of Rothe's Method to the Navier–Stokes Equations (R Rautmann) On Equilibria in the Interaction of Fluids and Elastic Solids (M Rumpf) Regularity for Steady Solutions of the Navier–Stokes Equations (M Ruzicka & J Frehse) Decay of Non-Oscillating Solutions to the Magneto-Hydrodynamic Equations (M E Schonbeck) and other papersReadership: Applied mathematicians.

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