Nonstandard Methods For Stochastic Fluid Mechanics
eBook - PDF

Nonstandard Methods For Stochastic Fluid Mechanics

  1. 248 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Nonstandard Methods For Stochastic Fluid Mechanics

About this book

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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Yes, you can access Nonstandard Methods For Stochastic Fluid Mechanics by Marek Capinski, Nigel J Cutland in PDF and/or ePUB format, as well as other popular books in Matematica & Matematica applicata. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Contents
  2. Preface
  3. Nonstandard Methodology
  4. Results
  5. Chapter 1 Standard Preliminaries
  6. Chapter 2 Nonstandard Preliminaries
  7. Chapter 3 Loeb Measure and Integration Theory
  8. Chapter 4 Weak Solutions of Navier-Stokes Equations
  9. Chapter 5 Statistical Solutions of Navier-Stokes Equations
  10. Chapter 6 Stochastic Navier-Stokes Equations
  11. Chapter 7 Statistical Solutions of Stochastic Navier-Stokes Equations
  12. Chapter 8 The Euler Equation
  13. Appendix: The Nonstandard Universe and the Transfer Principle
  14. Bibliography
  15. Notation
  16. Index
  17. Series on Advances in Mathematics for Applied Sciences