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

Capinski, Marek; Cutland, Nigel J

ISBN 10: 9810217102 / ISBN 13: 9789810217105

Published by World Scientific Publishing Company, 1995

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Bibliographic Details

• Title: NONSTANDARD METHODS FOR STOCHASTIC FLUID MECHANICS (Advances in Mathematics for Applied Sciences)
• Publisher: World Scientific Publishing Company
• Publication Date: 1995
• Language: English
• ISBN 10: 9810217102
• ISBN 13: 9789810217105
• Binding: Hardcover
• Condition: New
• Weight: 8 ounces

About this title

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.

Review

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