Stochastically Forced Compressible Fluid Flows / / Dominic Breit, Eduard Feireisl, Martina Hofmanová.

This book contains a first systematic study of compressible fluid flows subject to stochastic forcing. The bulk is the existence of dissipative martingale solutions to the stochastic compressible Navier-Stokes equations. These solutions are weak in the probabilistic sense as well as in the analytica...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Plus DeG Package 2018 Part 1
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Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2018]
©2018
Year of Publication:2018
Language:English
Series:De Gruyter Series in Applied and Numerical Mathematics , 3
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Physical Description:1 online resource (XII, 330 p.)
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Table of Contents:
  • Frontmatter
  • Acknowledgements
  • Notation
  • Contents
  • Part I: Preliminary results
  • 1. Elements of functional analysis
  • 2. Elements of stochastic analysis
  • Part II: Existence theory
  • 3. Modeling fluid motion subject to random effects
  • 4. Global existence
  • 5. Local well-posedness
  • 6. Relative energy inequality and weak–strong uniqueness
  • Part III: Applications
  • 7. Stationary solutions
  • 8. Singular limits
  • A. Appendix
  • B. Bibliographical remarks
  • Index