Description

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.

Nonstandard Methods For Stochastic Fluid Mechanics

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Hardback by Marek Capinski , Nigel J Cutland

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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,... Read more

    Publisher: World Scientific Publishing Co Pte Ltd
    Publication Date: 01/03/1995
    ISBN13: 9789810217105, 978-9810217105
    ISBN10: 9810217102

    Number of Pages: 248

    Non Fiction , Mathematics & Science , Education

    Description

    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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