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This volume brings together five contributions to mathematical
fluid mechanics, a classical but still very active research field
which overlaps with physics and engineering. The contributions
cover not only the classical Navier-Stokes equations for an
incompressible Newtonian fluid, but also generalized Newtonian
fluids, fluids interacting with particles and with solids, and
stochastic models. The questions addressed in the lectures range
from the basic problems of existence of weak and more regular
solutions, the local regularity theory and analysis of potential
singularities, qualitative and quantitative results about the
behavior in special cases, asymptotic behavior, statistical
properties and ergodicity.
This book is meant as a present to honor Professor on the th
occasion of his 70 birthday. It collects refereed contributions
from sixty-one mathematicians from eleven countries. They cover
many different areas of research related to the work of Professor
including Navier-Stokes equations, nonlinear elasticity,
non-Newtonian fluids, regularity of solutions of parabolic and
elliptic problems, operator theory and numerical methods. The
realization of this book could not have been made possible without
the generous support of Centro de Matematica Aplicada (CMA/IST) and
Fundacao Calouste Gulbenkian. Special thanks are due to Dr. Ulrych
for the careful preparation of the final version of this book. Last
but not least, we wish to express our gratitude to Dr. for her
invaluable assistance from the very beginning. This project could
not have been successfully concluded without her enthusiasm and
loving care for her father. On behalf of the editors ADELIA
SEQUEIRA v honored by the Order of Merit of the Czech Republic by
Vaclav Havel, President of the Czech Republic, on the October 28,
1998, Professor Emeritus of Mathematics at the Charles University
in Prague, Presidential Research Professor at the Northern Illinois
University and Doctor Honoris Causa at the Technical University of
Dresden, has been enriching the Czech and world mathematics with
his new ideas in the areas of partial differential equations,
nonlinear functional analysis and applications of the both
disciplines in continuum mechanics and hydrodynamics for more than
forty years.
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