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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
ISBN 981-02-3300-0 US$70 / £44


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Updated on 24 July 2008