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Nonstandard Methods For Stochastic Fluid Mechanics

Name: Nonstandard Methods For Stochastic Fluid Mechanics
Brand: World Scientific Publishing Co Pte Ltd
SKU: 05064704
Price: 90.59 EUR
Availability: InStock
Author: Marek Capinski
ISBN: 9789810217105

Marek Capinski

Nigel J. Cutland

Language

English

Book Hardback

Libristo code: 05064704

Publishers World Scientific Publishing Co Pte Ltd, September 1994

This book is an exposition of a new approach to the Navier-Stokes equations, using powerful techniqu... Full description

Libristo code: 05064704

222 b

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This book is an exposition of a new approach to the Navier-Stokes equations, using powerful techniques provided by a 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 the nonstandard analysis, designed with applied mathematicians in mind and concentrated specifically on techniques applicable to Navier-Stokes equations. The subsequent expositon 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.