## Applied Nonlinear AnalysisAdélia Sequeira, Hugo Beirão da Veiga, Juha H. Videman 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. |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

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 |

### Other editions - View all

Applied Nonlinear Analysis Adélia Sequeira,Hugo Beirão da Veiga,Juha H. Videman No preview available - 2013 |

Applied Nonlinear Analysis Adélia Sequeira,Hugo Beirão da Veiga,Juha H. Videman No preview available - 2013 |

### Common terms and phrases

Anal Appl Applied Nonlinear Analysis approximation assume asymptotic bifurcation boundary conditions bounded domain coefficients compact compressible conservation laws consider contact problem continuous convection convergence corresponding Czech Republic decay defined definition denote derivatives Dirichlet Dirichlet problem edited by Sequeira eigenvalue elliptic systems estimate exterior domain finite element flow fluids functions satisfying given global gradient Hardy inequality Heat equation Hence Hölder Hölder continuity Hölder inequality holds imbedding implies integral introduce invariant Kluwer Academic Lemma limit solution linear Lipschitz continuous Math Mathematical method monotonicity Moreover Navier-Stokes equations norm notation numerical obtain operator parabolic partial differential equations perturbations Plenum Publishers polyconvex positive constant proof of Theorem properties Proposition prove rank 1 convex Rational Mech regularity Remark respectively sequence smooth Sobolev spaces solvability stationary Stokes problem subset symmetric tensor term test functions Theorem 2.1 triangles variational inequality vector velocity viscoelastic viscosity solutions weak solution weakly zero