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    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: May 1998  
    ISBN:   978-981-02-3300-6
    981-02-3300-0
       US$74 / £51

     


     

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