Mathematical Topics in Fluid Mechanics / Edition 1

by Jose Francisco Rodrigues, Adelia Sequeira

Overview

This Research Note presents several contributions and mathematical studies in fluid mechanics, namely in non-Newtonian and viscoelastic fluids and on the Navier-Stokes equations in unbounded domains. It includes review of the mathematical analysis of incompressible and compressible flows and results in magnetohydrodynamic and electrohydrodynamic stability and thermoconvective flow of Boussinesq-Stefan type. These studies, along with brief communications on a variety of related topics comprise the proceedings of a summer course held in Lisbon, Portugal in 1991. Together they provide a set of comprehensive survey and advanced introduction to problems in fluid mechanics and partial differential equations.

Product Details

ISBN-13:	9780582209541
Publisher:	Taylor & Francis
Publication date:	12/21/1992
Series:	Chapman & Hall/CRC Research Notes in Mathematics Series , #274
Pages:	280
Product dimensions:	6.88(w) x 9.69(h) x (d)

About the Author

Rodrigues, Jose Francisco; Sequeira, Adelia

Table of Contents

PREFACE — LIST OF PARTICIPANTS — Lectures — Quelques Examples de Fluides Newtoniens Generalises — /D. CIORANESCU — Two Dimensional Incompressible Fluid Flow with Singular Initial Data — /G.-H. COTTET — On the Steady Stokes Flow in Exterior Domains — /V. GIRAULT AND A. SEQUEIRA — Mathematical Problems arising in Differential Models for Viscoelastic Fluids — /C. GUILLOPE AND J.-C. SAUT — Weak Solutions for Thermoconvective Flows of Boussinesq-Stefan Type — /J.-F. RODRIGUES — Boundary and Initial-Boundary Value Problems for the Navier-Stokes Equations in Domains with Noncompact Boundaries — /V.A. SOLONNIKOV — Stability Problems in Electro hydrodynamics, Ferro hydrodynamics and Thermo­electric Magnetohydrodynamics — /B. STRAUGHAN — Mathematical Results for Compressible Flows — /A. VALLI — Communications — Une Solution Numerique des .Equations de Navier-Stokes Stationaries — /0. BAN — Stationary Solutions for a Bingham Flow with Nonlocal Friction — /L. CONSIGLIERI — Etude de la Stabilite du Couplage des .Equations d'Euler et Maxwell a une Dimension d'Espace — /S. FABRE — Diphasic Equilibrium and Chemical Engineering — /F. JAMES — Vibrations of a Viscous Compressible Fluid in Bounded and Unbounded Domains — /M. R. LEVITIN — Shock Wave in Resonant Dispersion Media — /YU. I. SKRYNNIKOV — Solitary Vortices - A New Exact Solution of Hydrodynamic Equations — /A. SKVORTSOV.