Mathematical Structure of the Singularities at the Transitions Between Steady States in Hydrodynamic Systems, H.N. Shirer; R. Wells

Автор: Pedro J. Torres
Название: Mathematical Models with Singularities
ISBN: 946239105X ISBN-13(EAN): 9789462391055
Издательство: Springer
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Описание: The book aims to provide an unifying view of a variety (a `zoo`) of mathematical models with some kind of singular nonlinearity, in the sense that it becomes infinite when the state variable approaches a certain point. Each chapter starts with a discussion of the basic model and its physical significance.

Автор: Daniel Benest; Claude Froeschle
Название: Singularities in Gravitational Systems
ISBN: 3642078443 ISBN-13(EAN): 9783642078446
Издательство: Springer
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Описание: Chaos theory plays an important role in modern physics and related sciences, but -, the most important results so far have been obtained in the study of gravitational systems applied to celestial mechanics.

Автор: Anna DeMasi; Errico Presutti
Название: Mathematical Methods for Hydrodynamic Limits
ISBN: 3540550046 ISBN-13(EAN): 9783540550044
Издательство: Springer
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Описание: The purpose of this text is to make accessible to readers with a limited background in probability theory such mathematical methods as entropy inequalities, correlation functions and couplings between stochastic processes.

Автор: Hampton N. Shirer
Название: Nonlinear Hydrodynamic Modeling: A Mathematical Introduction
ISBN: 3662136430 ISBN-13(EAN): 9783662136430
Издательство: Springer
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Автор: George Papanicolaou
Название: Hydrodynamic Behavior and Interacting Particle Systems
ISBN: 1468463497 ISBN-13(EAN): 9781468463491
Издательство: Springer
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Описание: This IMA Volume in Mathematics and its Applications HYDRODYNAMIC BEHAVIOR AND INTERACTING PARTICLE SYSTEMS is in part the proceedings of a workshop which was an integral part of the 1985-86 IMA program on STOCHASTIC DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS. We are grateful to the Scientific Committee: Daniel Stroock (Chairman) Wendell Fleming Theodore Harris Pierre-Louis Lions Steven Orey George Papanicolaou for planning and implementing an exciting and stimulating year-long program. We especially thank the Program Organizer, George Papanicolaou for orga- nizing a workshop which brought together scientists and mathematicians in a variety of areas for a fruitful exchange of ideas. George R. Sell Hans Weinberger PREFACE A workshop on the hydrodynamic behavior of interacting particle systems was held at the Institute for Mathematics and its Applications at the University of Minnesota during the week of March 17, 1986. Fifteen papers presented at the workshop are collected in this volume. They contain research in several different directions that are currently being pursued. The paper of Chaikin, Dozier and Lindsay is concerned with experimental results on suspensions in regimes where modern mathematical methods could be useful. The paper of Fritz gives an introduction to these methods as does the paper of Spohn. Analytical methods currently used by in the physics and chemistry literature are presented in the paper of Freed, Wang and Douglas. The paper of Caflisch deals with time dependent effects in sedimentation.