Nonstandard Methods in Stochastic Fluid Mechanics
Capinski, Marek; Cutland, Nigel J.
ISBN 10: 9810217102 ISBN 13: 9789810217105
Published by World Scientific Publishing Company, 1995
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Synopsis:
This book is an exposition of a new approach to the Navier-Stokes equations, using powerful techniques provided by nonstandard analysis, as developed by the authors. The topics studied include the existence and uniqueness of weak solutions, statistical solutions and the solution of general stochastic equations.The authors provide a self-contained introduction to nonstandard analysis, designed with applied mathematicians in mind and concentrated specifically on techniques applicable to the Navier-Stokes equations. The subsequent exposition shows how these new techniques allow a quick and intuitive entrance into the mathematical theory of hydrodynamics, as well as provide a research tool that has proven useful in solving open problems concerning stochastic equations.
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Bibliographic Details
Title: Nonstandard Methods in Stochastic Fluid ...
Publisher: World Scientific Publishing Company
Publication Date: 1995
Binding: Hardcover
Condition: New