The Navier-Stokes Equations Theory and Numerical Methods

Proceedings of a Conference held at Oberwolfach, FRG, Sept. 18-24, 1988
1990
ISBN: 978-3-540-52770-1
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 1431, 240 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 388 g

Reihe: Lecture Notes in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Heywood, John G.

Solonnikov, Vsevolod A.

Masuda, Kyuya

Rautmann, Reimund

Fachgebiete

• Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Moderne Anwendungen der Analysis
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Strömungslehre

Inhaltsverzeichnis

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.