1998Series on advances in mathematics for applied sciencesRequires access

Theory Of The Navier-Stokes Equations

John G. Heywood, Koichi Masuda, Reimund Rautmann, V. A. Solonnikov

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Abstract

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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What this paper is about

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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Available abstract

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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