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NONSTANDARD METHODS FOR STOCHASTIC FLUID MECHANICS (Advances in Mathematics for Applied Sciences) - Hardcover

 
9789810217105: NONSTANDARD METHODS FOR STOCHASTIC FLUID MECHANICS (Advances in Mathematics for Applied Sciences)

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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The book includes an account of classical results in hydrodynamics, a clear introduction to nonstandard analysis as well as a short summary of stochastic analysis. -- Ana Bela Cruzeiro, Mathematical Reviews

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Capinski, Marek, Cutland, Nigel J
ISBN 10: 9810217102 ISBN 13: 9789810217105
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Marek Capinski, Nigel J. Cutland
Published by WORLD SCIENTIFIC PUB CO INC, 1995
ISBN 10: 9810217102 ISBN 13: 9789810217105
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