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 |
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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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| Subjects: | |
| Online Access: | |
| Collection: | DeGruyter MPG Collection - Collection details see MPG.ReNa |
| 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. |
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| Physical Description: | XII, 330 Seiten |
| ISBN: | 978-3-11-049050-3 |
| ISSN: | 2512-1820 |