1st Edition

The Navier-Stokes Equations Theory and Numerical Methods

By Rodolfo Salvi Copyright 2002
    308 Pages
    by CRC Press

    308 Pages
    by CRC Press

    "Contains proceedings of Varenna 2000, the international conference on theory and numerical methods of the navier-Stokes equations, held in Villa Monastero in Varenna, Lecco, Italy, surveying a wide range of topics in fluid mechanics, including compressible, incompressible, and non-newtonian fluids, the free boundary problem, and hydrodynamic potential theory."

    Part 1 Flow in bounded and unbounded domains: a Reynolds equation derived from the micropolar Navier-Stokes system; more Lyapunov functions for the Navier-Stokes equation; on the nonlinear stability of the magnetic Benard problem; stability of Navier-Stokes flows through permeable boundaries; on steady solutions of the Kuramoto-Sivashinsky equation; classical solutions to the stationary Navier-Stokes system in exterior domains; stationary Navier-Stokes flow in two-dimensional Y-shape channel under general outflow condition; regularity of solutions to the Stokes equations under a certain nonlinear boundary condition; viscous incompressible flow in unbounded domains; lifespan and global existence of 2-D compressible fluids; on the theory of nonstationary hyrrodynamic potentials; a note on the blow-up criterion for the inviscid 2-D Boussinesq equations; weak solutions to viscous heat-conducting gas 1D-equations with discontinuous data - global existence, uniqueness, and regularity. Part 2 General qualitative theory: regularity criteria of the axisymmetric Navier-Stokes equations. (Part contents).

    Biography

    Rodolfo Salvi