Stochastically Forced Compressible Fluid Flows
Language: English
Published by De Gruyter, DE, 2018
Series: Book 3 of 6 - De Gruyter Series in Applied and Numerical Mathematics
- Hardcover
- New
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Condition: New
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Add to basketItem description from seller
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. ContentsPart 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.
Seller Inventory # LU-9783110490503
- Title
- Stochastically Forced Compressible Fluid Flows
- Author
- Dominic Breit, Eduard Feireisl, Martina Hofmanová
- Publisher
- De Gruyter, DE
- Publication year
- 2018
- Condition
- New
- Binding
- Hardback
- Language
- English
- ISBN 10
- 3110490501
- ISBN 13
- 9783110490503
- Item weight
- 712 grams
- Series
- Book 3 of 6: De Gruyter Series in Applied and Numerical Mathematics
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
"Synopsis" may belong to another edition of this title.
About the Author
D. Breit, Heriot-Watt University, UK; E. Feireisl, Czech Academy of Sciences, Czech Republic; M. Hofmanová, TU Berlin, Germany.
"About the title" may belong to another edition of this title.
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