Description
Mathematical Topics in Fluid Mechanics
Proceedings of the summer course held in Lisbon, Portugal, September 9-13, 1991
Chapman & Hall/CRC Research Notes in Mathematics Series
Authors: Rodrigues Jose Francisco, Sequeira Adelia
Language: EnglishSubjects for Mathematical Topics in Fluid Mechanics:
Keywords
Sobolev Inequalities; Div; Compressible Viscous Fluids; Variational Inequalities; Stokes Problem; Cauchy Problem; Time Periodic Solutions; Bilinear Form; Priori Estimate; Divergence Free Vector Field; A-priori Estimate; Convex Hausdorff Topological Vector Space; Bounded Domain; Local Existence Theorem; Jeffreys Models; Velocity Pressure Formulation; Nonlinear Convection Diffusion Problem; Nonlinear Stability; Weighted Sobolev Spaces; Initial Vorticity; Degenerate Hypergeometrical Functions; Vortex Sheet; Oldroyd Model; Micropolar Fluid; Free Boundary Problem
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Description
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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.
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.