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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| Format: | eBook |
| Language: | English |
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Berlin ; Boston
De Gruyter
2018
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| Series: | De Gruyter series in applied and numerical mathematics
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| Collection: | DeGruyter MPG Collection - Collection details see MPG.ReNa |
Table of 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