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Series on Advances in Mathematics for Applied Sciences - Vol. 47
THEORY OF THE NAVIER-STOKES EQUATIONS
edited by J G Heywood (University of British Columbia), K Masuda (Tôhoku University, Japan), R Rautmann (Universität-GH Paderborn, Germany) & V A Solonnikov (Steklov Mathematical Institute, Russia)
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 H2,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 papers
Readership: Applied mathematicians.
| 248pp |
Pub. date: Jun 1998 |
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