Nonstandard methods for stochastic fluid mechanics
Author(s)
Bibliographic Information
Nonstandard methods for stochastic fluid mechanics
（Series on advances in mathematics for applied sciences, vol. 27）
World Scientific, c1995
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Note
Includes bibliographical references and index
Description and Table of Contents
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.
Table of Contents
- Standard Preliminaries
- Nonstandard Preliminaries
- Weak Solutions of Navier-Stokes Equations
- Statistical Solutions of Navier-Stokes Equations
- Stochastic Navier-Stokes Equations
- Other Equations of Hydromechanics
- Euler Equation.
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