Theory of the Navier-Stokes equations

Intended to be of use to upper level engineering students, this book of lecture notes contains theoretical background material required for computer generation of random fields, which is of interest in various fields of applied mathematics. The necessary probabilistic background suitable for applied work in water resources engineering as well as signal and image processing is also covered 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)