Stochastically Forced Compressible Fluid Flows /

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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Détails bibliographiques
Cote:Libro Electrónico
Auteurs principaux: Breit, Dominic (Auteur), Feireisl, Eduard (Auteur), Hofmanová, Martina (Auteur)
Format: Électronique eBook
Langue:Inglés
Publié: Berlin ; Boston : De Gruyter, [2018]
Collection:De Gruyter series in applied and numerical mathematics ; v. 3.
Sujets:
Fluid dynamics.
Hydrodynamics
Dynamique des fluides.
TECHNOLOGY & ENGINEERING > Hydraulics.
Accès en ligne:Texto completo
Table des matières:
  • 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.

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