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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| Other Authors: | , |
| Format: | eBook |
| Language: | English |
| Published: |
Berlin ;Boston
De Gruyter,
[2018]
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| Series: | De Gruyter Series in Applied and Numerical Mathematics ;
3 |
| Subjects: | |
| Online Access: | EBSCOhost Перейти в каталог НБ ТГУ |
Table of Contents:
- 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