Nonstandard Methods for Stochastic Fluid Mechanics |
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| Author:
| Capinski, Marek
Cutland, Nigel J. |
| ISBN: | 978-981-283-195-8 |
| Publication Date: | Mar 1995 |
| Publisher: | World Scientific Publishing Co Pte Ltd
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| Book Format: | Digital (delivered electronically) |
| List Price: | USD $128.00 |
Book Description:
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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...
More DescriptionThis 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.