Applied Nonlinear Analysis

Front Cover
Adélia Sequeira, Hugo Beirão da Veiga, Juha H. Videman
Springer Science & Business Media, May 8, 2007 - Mathematics - 548 pages
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 Matemática Aplicada (CMA/IST) and Fundação 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 ADÉLIA SEQUEIRA v honored by the Order of Merit of the Czech Republic by Václav 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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Contents

On the regularity and decay of the weak solutions to the steady
1
A note on turbulence modeling
19
regularity for nonlinear elliptic systems of second order
33
On the Fredholm alternative for nonlinear homogeneous operators
41
Existence of solutions to a nonlinear coupled thermoviscoelastic
49
On some global existence theorems for a semilinear parabolic
67
Bifurcation of solutions to reactiondiffusion systems with jumping
79
Coupled problems for viscous incompressible flow in exterior
97
Reliable solution of a unilateral contact problem with friction
175
Domain decomposition algorithm for computer aided design
185
Solution of convectiondiffusion problems with the memory terms
199
On global existence of smooth twodimensional steady flows
213
Viscosity solutions for degenerate and nomnonotone elliptic equations
231
Remarks on compactness in the formation of fine structures
255
Finite element analysis of a nonlinear elliptic problem with a pure
271
Estimates of threedimensional Oseen kernels in weighted spaces
281

On modelling of Czochralski flow the case of non plane free surface
133
Symmetric stationary solutions to the plane exterior NavierStokes
149
A fictitiousdomain method with distributed multiplier for the
159
Hardys inequality and spectral problems of nonlinear operators
317
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