Stochastically Forced Compressible Fluid Flows / / Dominic Breit, Eduard Feireisl, Martina Hofmanová.
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...
Saved in:
Superior document: | Title is part of eBook package: De Gruyter DG Plus DeG Package 2018 Part 1 |
---|---|
VerfasserIn: | |
Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2018] ©2018 |
Year of Publication: | 2018 |
Language: | English |
Series: | De Gruyter Series in Applied and Numerical Mathematics ,
3 |
Online Access: | |
Physical Description: | 1 online resource (XII, 330 p.) |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Other title: | 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 |
---|---|
Summary: | 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 |
Format: | Mode of access: Internet via World Wide Web. |
ISBN: | 9783110492552 9783110762488 9783110719550 9783110604252 9783110603255 9783110604191 9783110603194 |
ISSN: | 2512-1820 ; |
DOI: | 10.1515/9783110492552 |
Access: | restricted access |
Hierarchical level: | Monograph |
Statement of Responsibility: | Dominic Breit, Eduard Feireisl, Martina Hofmanová. |