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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Breit, Dominic (Autor), Feireisl, Eduard (Autor), Hofmanová, Martina (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin ; Boston : De Gruyter, [2018]
Colección:De Gruyter series in applied and numerical mathematics ; v. 3.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.