Theory of the Navier-Stokes equations

書誌事項

Theory of the Navier-Stokes equations

editors, J.G. Heywood ... [et al.]

(Series on advances in mathematics for applied sciences, vol.47)

World Scientific, c1998

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注記

Includes bibliographical references

内容説明・目次

内容説明

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.

目次

  • The 3D Stokes systems in domains with chancel 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 IR3, H.Ch. Grunau
  • on two-dimensional equations of thermal convection in the presence of the dissipation function, Y. Kagel
  • 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 3D space), A. Novotny
  • convergence rates in H2,r of Rhothe'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.RAOOIOka, J. Frehse
  • decay of non-oscillating solutions to the magneto-hydrodynamic equations, M.E. Schonbeck. (Part contents).

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