Stochastically Forced Compressible Fluid Flows
Navier-Stokes Equations with Stochastic Driving Forces
(Sprache: Englisch)
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...
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Klappentext zu „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 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
Autoren-Porträt von Dominic Breit, Eduard Feireisl, Martina Hofmanová
D. Breit, Heriot-Watt University, UK; E. Feireisl, Czech Academy of Sciences, Czech Republic; M. Hofmanová, TU Berlin, Germany.
Bibliographische Angaben
- Autoren: Dominic Breit , Eduard Feireisl , Martina Hofmanová
- 2018, XII, 330 Seiten, 40 Schwarz-Weiss-Abbildungen, mit Abbildungen, Masse: 17,7 x 24,6 cm, Gebunden, Englisch
- Verlag: De Gruyter
- ISBN-10: 3110490501
- ISBN-13: 9783110490503
- Erscheinungsdatum: 22.01.2018
Sprache:
Englisch
Pressezitat
"This book is very well written and rigorously presented, and constitutes a significant contribution to the field. It is very well motivated by various interesting and important applications in fluid mechanics and related areas. The book is recommended to all researchers interested by the modern theory of compressible fluid flows."Mirela Kohr in: Mathematical Reviews Clippings April 2019 MR3791804
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