Mathematical Topics in Fluid Mechanics

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
Quelques Exemples de Fluides Newtoniens Generalises	p. 1
Two Dimensional Incompressible Fluid Flow with Singular Initial Data	p. 32
On the Steady Stokes Flow in Exterior Domains	p. 50
Mathematical Problems arising in Differential Models for Viscoelastic Fluids	p. 64
Weak Solutions for Thermoconvective Flows of Boussinesq-Stefan Type	p. 93
Boundary and Initial-Boundary Value Problems for the Navier-Stokes Equations in Domains with Noncompact Boundaries	p. 117
Stability Problems in Electrohydrodynamics, Ferrohydrodynamics and Thermoelectric Magnetohydrodynamics	p. 163
Mathematical Results for Compressible Flows	p. 193
Une Solution Numerique des Equations de Navier-Stokes Stationnaires	p. 231
Stationary Solutions for a Bingham Flow with Nonlocal Friction	p. 237
Etude de la Stabilite du Couplage des Equations d'Euler et Maxwell a une Dimension d'Espace	p. 244
Diphasic Equilibrium and Chemical Engineering	p. 246
Vibrations of a Viscous Compressible Fluid in Bounded and Unbounded Domains	p. 251
Shock Wave in Resonant Dispersion Media	p. 256
Solitary Vortices - A New Exact Solution of Hydrodynamic Equations	p. 259
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Mathematical Topics in Fluid Mechanics

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