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 By D. Cioranescu Two Dimensional Incompressible Fluid Flow with Singular Initial Data By G.-H. Cottet On the Steady Stokes Flow in Exterior Domains By V. Girault, A. Sequeira Mathematical Problems arising in Differential Models for Viscoelastic Fluids By C. Guillope, J.-C. Saut Weak Solutions for Thermoconvective Flows of Boussinesq-Stefan Type By J.-F. Rodrigues Boundary and Initial-Boundary Value Problems for the Navier-Stokes Equations in Domains with Noncompact Boundaries By V. A. Solonnikov Stability Problems in Electrohydrodynamics, Ferrohydrodynamics and Thermoelectric Magnetohydrodynamics By B. Straughan Mathematical Results for Compressible Flows By A. Valli Une Solution Numerique des Equations de Navier-Stokes Stationnaires By O. Ban Stationary Solutions for a Bingham Flow with Nonlocal Friction By L. Consiglieri Etude de la Stabilite du Couplage des Equations d'Euler et Maxwell a une Dimension d'Espace By S. Fabre Diphasic Equilibrium and Chemical Engineering By F. James Vibrations of a Viscous Compressible Fluid in Bounded and Unbounded Domains By M. R. Levitin Shock Wave in Resonant Dispersion Media By Yu. I. Skrynnikov Solitary Vortices - A New Exact Solution of Hydrodynamic Equations By A. Skvortsov

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