Stochastic partial differential equations in fluid mechanics:
This book is devoted to stochastic Navier–Stokes equations and more generally to stochasticity in fluid mechanics. The two opening chapters describe basic material about the existence and uniqueness of solutions: first in the case of additive noise treated pathwise and then in the case of state-depe...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Singapore
Springer
[2023]
|
| Schriftenreihe: | Lecture notes in mathematics
Volume 2330 |
| Schlagworte: | |
| Zusammenfassung: | This book is devoted to stochastic Navier–Stokes equations and more generally to stochasticity in fluid mechanics. The two opening chapters describe basic material about the existence and uniqueness of solutions: first in the case of additive noise treated pathwise and then in the case of state-dependent noise. The main mathematical techniques of these two chapters are known and given in detail for using the book as a reference for advanced courses. By contrast, the third and fourth chapters describe new material that has been developed in very recent years or in works now in preparation. The new material deals with transport-type noise, its origin, and its consequences on dissipation and well-posedness properties. Finally, the last chapter is devoted to the physical intuition behind the stochastic modeling presented in the book, giving great attention to the question of the origin of noise in connection with small-scale turbulence, its mathematical form, and its consequences on large-scale properties of a fluid. |
| Beschreibung: | Preface: "These notes originated from a series of lectures given at Waseda University in April - May 2021 ..." |
| Beschreibung: | viii, 199 Seiten |
| ISBN: | 9789819903849 9789819903863 9789819903870 |
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| 520 | 3 | |a This book is devoted to stochastic Navier–Stokes equations and more generally to stochasticity in fluid mechanics. The two opening chapters describe basic material about the existence and uniqueness of solutions: first in the case of additive noise treated pathwise and then in the case of state-dependent noise. The main mathematical techniques of these two chapters are known and given in detail for using the book as a reference for advanced courses. By contrast, the third and fourth chapters describe new material that has been developed in very recent years or in works now in preparation. The new material deals with transport-type noise, its origin, and its consequences on dissipation and well-posedness properties. Finally, the last chapter is devoted to the physical intuition behind the stochastic modeling presented in the book, giving great attention to the question of the origin of noise in connection with small-scale turbulence, its mathematical form, and its consequences on large-scale properties of a fluid. | |
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| index_date | 2024-07-03T23:25:02Z |
| indexdate | 2024-07-10T10:09:37Z |
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| isbn | 9789819903849 9789819903863 9789819903870 |
| language | English |
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| physical | viii, 199 Seiten |
| publishDate | 2023 |
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| publisher | Springer |
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| series | Lecture notes in mathematics |
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| spelling | Flandoli, Franco Verfasser (DE-588)135622360 aut Stochastic partial differential equations in fluid mechanics Franco Flandoli, Eliseo Luongo Singapore Springer [2023] viii, 199 Seiten txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics Volume 2330 Preface: "These notes originated from a series of lectures given at Waseda University in April - May 2021 ..." This book is devoted to stochastic Navier–Stokes equations and more generally to stochasticity in fluid mechanics. The two opening chapters describe basic material about the existence and uniqueness of solutions: first in the case of additive noise treated pathwise and then in the case of state-dependent noise. The main mathematical techniques of these two chapters are known and given in detail for using the book as a reference for advanced courses. By contrast, the third and fourth chapters describe new material that has been developed in very recent years or in works now in preparation. The new material deals with transport-type noise, its origin, and its consequences on dissipation and well-posedness properties. Finally, the last chapter is devoted to the physical intuition behind the stochastic modeling presented in the book, giving great attention to the question of the origin of noise in connection with small-scale turbulence, its mathematical form, and its consequences on large-scale properties of a fluid. Differential equations. Stochastic analysis. Functional analysis. (DE-588)1071861417 Konferenzschrift gnd-content Luongo, Eliseo Verfasser (DE-588)1317531272 aut Erscheint auch als Online-Ausgabe 978-981-99-0385-6 (DE-604)BV049032717 Lecture notes in mathematics Volume 2330 (DE-604)BV000676446 2330 |
| spellingShingle | Flandoli, Franco Luongo, Eliseo Stochastic partial differential equations in fluid mechanics Lecture notes in mathematics |
| subject_GND | (DE-588)1071861417 |
| title | Stochastic partial differential equations in fluid mechanics |
| title_auth | Stochastic partial differential equations in fluid mechanics |
| title_exact_search | Stochastic partial differential equations in fluid mechanics |
| title_exact_search_txtP | Stochastic partial differential equations in fluid mechanics |
| title_full | Stochastic partial differential equations in fluid mechanics Franco Flandoli, Eliseo Luongo |
| title_fullStr | Stochastic partial differential equations in fluid mechanics Franco Flandoli, Eliseo Luongo |
| title_full_unstemmed | Stochastic partial differential equations in fluid mechanics Franco Flandoli, Eliseo Luongo |
| title_short | Stochastic partial differential equations in fluid mechanics |
| title_sort | stochastic partial differential equations in fluid mechanics |
| topic_facet | Konferenzschrift |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT flandolifranco stochasticpartialdifferentialequationsinfluidmechanics AT luongoeliseo stochasticpartialdifferentialequationsinfluidmechanics |