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...
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Superior document: | Title is part of eBook package: De Gruyter DG Plus DeG Package 2018 Part 1 |
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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.) |
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082 | 0 | 4 | |a 532.05 |2 23 |
100 | 1 | |a Breit, Dominic, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
245 | 1 | 0 | |a Stochastically Forced Compressible Fluid Flows / |c Dominic Breit, Eduard Feireisl, Martina Hofmanová. |
264 | 1 | |a Berlin ; |a Boston : |b De Gruyter, |c [2018] | |
264 | 4 | |c ©2018 | |
300 | |a 1 online resource (XII, 330 p.) | ||
336 | |a text |b txt |2 rdacontent | ||
337 | |a computer |b c |2 rdamedia | ||
338 | |a online resource |b cr |2 rdacarrier | ||
347 | |a text file |b PDF |2 rda | ||
490 | 0 | |a De Gruyter Series in Applied and Numerical Mathematics , |x 2512-1820 ; |v 3 | |
505 | 0 | 0 | |t Frontmatter -- |t Acknowledgements -- |t Notation -- |t Contents -- |t Part I: Preliminary results -- |t 1. Elements of functional analysis -- |t 2. Elements of stochastic analysis -- |t Part II: Existence theory -- |t 3. Modeling fluid motion subject to random effects -- |t 4. Global existence -- |t 5. Local well-posedness -- |t 6. Relative energy inequality and weak–strong uniqueness -- |t Part III: Applications -- |t 7. Stationary solutions -- |t 8. Singular limits -- |t A. Appendix -- |t B. Bibliographical remarks -- |t Index |
506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
520 | |a 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 | ||
530 | |a Issued also in print. | ||
538 | |a Mode of access: Internet via World Wide Web. | ||
546 | |a In English. | ||
588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) | |
650 | 0 | |a Fluid dynamics. | |
650 | 4 | |a Fluiddynamik. | |
650 | 4 | |a Kompressible Strömung. | |
650 | 4 | |a Navier-Stokes-Gleichung. | |
650 | 7 | |a MATHEMATICS / Differential Equations / Partial. |2 bisacsh | |
700 | 1 | |a Feireisl, Eduard, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
700 | 1 | |a Hofmanová, Martina, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DG Plus DeG Package 2018 Part 1 |z 9783110762488 |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DG Plus eBook-Package 2018 |z 9783110719550 |
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773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE Mathematics 2018 English |z 9783110604191 |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE Mathematics 2018 |z 9783110603194 |o ZDB-23-DMA |
776 | 0 | |c EPUB |z 9783110490763 | |
776 | 0 | |c print |z 9783110490503 | |
856 | 4 | 0 | |u https://doi.org/10.1515/9783110492552 |
856 | 4 | 0 | |u https://www.degruyter.com/isbn/9783110492552 |
856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/document/cover/isbn/9783110492552/original |
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