Compressible Fluid Flows: Navier-stokes Equations With Stochastic Driving Forces - Couverture rigide

Breit Dr., Dominic; Feireisl, Eduard; Hofmanová, Martina

Couverture rigide

ISBN 10 : 3110490501 ISBN 13 : 9783110490503

Editeur : De Gruyter, 2018

Synopsis

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 analytical sense. Moreover, the evolution of the energy can be controlled in terms of the initial energy. We analyze the behavior of solutions in short-time (where unique smooth solutions exists) as well as in the long term (existence of stationary solutions). Finally, we investigate the asymptotics with respect to several parameters of the model based on the energy inequality.

Contents
Part I: Preliminary results
Elements of functional analysis
Elements of stochastic analysis

Part II: Existence theory
Modeling fluid motion subject to random effects
Global existence
Local well-posedness
Relative energy inequality and weak-strong uniqueness

Part III: Applications
Stationary solutions
Singular limits

A propos du livre

À propos de l'auteur

D. Breit, Heriot-Watt University, UK; E. Feireisl, Czech Academy of Sciences, Czech Republic; M. Hofmanová, TU Berlin, Germany.

Détails de l'édition

• Éditeur: De Gruyter
• Date d'édition: 2018
• Langue: anglais
• ISBN 10: 3110490501
• ISBN 13: 9783110490503
• Reliure: Relié
• Nombre de pages: 342
• Coordonnées du fabricant: non disponible
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