The Navier-Stokes Equations Theory and Numerical Methods (eBook, PDF)

Proceedings of a Conference held at Oberwolfach, FRG, Sept. 18-24, 1988
Redaktion: Heywood, John G.; Solonnikov, Vsevolod A.; Rautmann, Reimund; Masuda, Kyuya

• Format: PDF

Produktbeschreibung

These proceedings contain original (refereed) research articles by specialists from many countries, on a wide variety of aspects of Navier-Stokes equations. Additionally, 2 survey articles intended for a general readership are included: one surveys the present state of the subject via open problems, and the other deals with the interplay between theory and numerical analysis.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 240
• Erscheinungstermin: 14. November 2006
• Englisch
• ISBN-13: 9783540471417
• Artikelnr.: 53387853

Inhaltsangabe

Open problems in the theory of the Navier-Stokes equations for viscous incompressible flow.- Navier-Stokes equations from the point of view of the theory of ill-posed boundary value problems.- On the statistical approach to the Navier-Stokes equations.- Asymptotic expansions for a flow with a dynamic contact angle.- Noncompact free boundary problems for the Navier-Stokes equations.- On large time behavior of the total kinetic energy for weak solutions of the Navier-Stokes equations in unbounded domains.- Strong solution for the Navier-Stokes flow in the half-space.- The problem of momentumless flow for the Navier-Stokes equations.- Decay and stability in L p for strong solutions of the Cauchyproblem for the Navier-Stokes equations.- A Galerkin approximation for linear eigenvalue problems in two and three-dimensional boundary-layer flows.- Symmetry-breaking effects of distant sidewalls in Rayleigh-Bénard convection.- Applications of degenerate bifurcation equations to the taylor problem and the water wave problem.- A uniqueness criterion for the solution of the stationary Navier-Stokes equations.- On decay properties of the Stokes equations in exterior domains.- On necessary and sufficient conditions for the solvability of the equations rot ?=? and div ?=? with ? vanishing on the boundary.- On optimal constants in some inequalities.- Boundary-value problems for Navier-Stokes equations of viscous gas.- On the one-dimensional Navier-Stokes equations for compressible fluids.- On the numerical analysis of the nonstationary Navier-Stokes equations.- Numerical methods for the Navier-Stokes equations with an unknown boundary between two viscous incompressible fluids.- Curl-conforming finite element methods for Navier-Stokes equations with non-standard boundary conditionsin ?3.- On lagrangean methods and volterra integral equations of the first kind for incompressible Navier Stokes problems.- Numerical simulation and experimental verification of cavity flows.