Theory of the Navier-Stokes Equations
Theory of the Navier-Stokes Equations

Author: John Groves Heywood

Publisher: World Scientific

Published: 1998

Total Pages: 256

ISBN-13: 9789810233006

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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.

The Stokes Equations
The Stokes Equations

Author: Werner Varnhorn

Publisher: De Gruyter Akademie Forschung

Published: 1994

Total Pages: 176

ISBN-13:

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The present book consists of three parts. In the first part a theory of solvability for the stationary Stokes equations in exterior domains is developed. We prove existence of strong solutions in Sobolev spaces and use a localisation principle and the divergence equation to deduce further properties of the solution (uniqueness, asymptotics).