Mathematics of open fluid systems:
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Cham
Birkhäuser
[2022]
|
| Schriftenreihe: | Nec̆as Center Series
|
| Abstract: | The goal of this monograph is to develop a mathematical theory of open fluid systems in the framework of continuum thermodynamics. Part I discusses the difference between open and closed fluid systems and introduces the Navier-Stokes-Fourier system as the mathematical model of a fluid in motion that will be used throughout the text. A class of generalized solutions to the Navier-Stokes-Fourier system is considered in Part II in order to show existence of global-in-time solutions for any finite energy initial data, as well as to establish the weak-strong uniqueness principle. Finally, Part III addresses questions of asymptotic compactness and global boundedness of trajectories and briefly considers the statistical theory of turbulence and the validity of the ergodic hypothesis |
| Umfang: | xxvii, 284 Seiten Illustrationen |
| ISBN: | 9783030947927 |
Internformat
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| 100 | 1 | |a Feireisl, Eduard |d 1957- |e Verfasser |0 (DE-588)137457685 |4 aut | |
| 245 | 1 | 0 | |a Mathematics of open fluid systems |c Eduard Feireisl, Antonin Novotný |
| 264 | 1 | |a Cham |b Birkhäuser |c [2022] | |
| 300 | |a xxvii, 284 Seiten |b Illustrationen | ||
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| 490 | 0 | |a Nec̆as Center Series | |
| 520 | 3 | |a The goal of this monograph is to develop a mathematical theory of open fluid systems in the framework of continuum thermodynamics. Part I discusses the difference between open and closed fluid systems and introduces the Navier-Stokes-Fourier system as the mathematical model of a fluid in motion that will be used throughout the text. A class of generalized solutions to the Navier-Stokes-Fourier system is considered in Part II in order to show existence of global-in-time solutions for any finite energy initial data, as well as to establish the weak-strong uniqueness principle. Finally, Part III addresses questions of asymptotic compactness and global boundedness of trajectories and briefly considers the statistical theory of turbulence and the validity of the ergodic hypothesis | |
| 700 | 1 | |a Novotný, Antonín |d 1959-2021 |e Verfasser |0 (DE-588)143304194 |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |a Feireisl, Eduard |t Mathematics of Open Fluid Systems |b 1st ed. 2022. |d Cham : Springer International Publishing, 2022 |h 1 Online-Ressource(XXVII, 284 p.) |z 9783030947934 |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-034568996 | |
Datensatz im Suchindex
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| author | Feireisl, Eduard 1957- Novotný, Antonín 1959-2021 |
| author_GND | (DE-588)137457685 (DE-588)143304194 |
| author_facet | Feireisl, Eduard 1957- Novotný, Antonín 1959-2021 |
| author_role | aut aut |
| author_sort | Feireisl, Eduard 1957- |
| author_variant | e f ef a n an |
| building | Verbundindex |
| bvnumber | BV049307828 |
| ctrlnum | (DE-599)KXP1812533349 |
| format | Book |
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| id | DE-604.BV049307828 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T20:06:08Z |
| institution | BVB |
| isbn | 9783030947927 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-034568996 |
| open_access_boolean | |
| physical | xxvii, 284 Seiten Illustrationen |
| publishDate | 2022 |
| publishDateSearch | 2022 |
| publishDateSort | 2022 |
| publisher | Birkhäuser |
| record_format | marc |
| series2 | Nec̆as Center Series |
| spelling | Feireisl, Eduard 1957- Verfasser (DE-588)137457685 aut Mathematics of open fluid systems Eduard Feireisl, Antonin Novotný Cham Birkhäuser [2022] xxvii, 284 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Nec̆as Center Series The goal of this monograph is to develop a mathematical theory of open fluid systems in the framework of continuum thermodynamics. Part I discusses the difference between open and closed fluid systems and introduces the Navier-Stokes-Fourier system as the mathematical model of a fluid in motion that will be used throughout the text. A class of generalized solutions to the Navier-Stokes-Fourier system is considered in Part II in order to show existence of global-in-time solutions for any finite energy initial data, as well as to establish the weak-strong uniqueness principle. Finally, Part III addresses questions of asymptotic compactness and global boundedness of trajectories and briefly considers the statistical theory of turbulence and the validity of the ergodic hypothesis Novotný, Antonín 1959-2021 Verfasser (DE-588)143304194 aut Erscheint auch als Online-Ausgabe Feireisl, Eduard Mathematics of Open Fluid Systems 1st ed. 2022. Cham : Springer International Publishing, 2022 1 Online-Ressource(XXVII, 284 p.) 9783030947934 |
| spellingShingle | Feireisl, Eduard 1957- Novotný, Antonín 1959-2021 Mathematics of open fluid systems |
| title | Mathematics of open fluid systems |
| title_auth | Mathematics of open fluid systems |
| title_exact_search | Mathematics of open fluid systems |
| title_full | Mathematics of open fluid systems Eduard Feireisl, Antonin Novotný |
| title_fullStr | Mathematics of open fluid systems Eduard Feireisl, Antonin Novotný |
| title_full_unstemmed | Mathematics of open fluid systems Eduard Feireisl, Antonin Novotný |
| title_short | Mathematics of open fluid systems |
| title_sort | mathematics of open fluid systems |
| work_keys_str_mv | AT feireisleduard mathematicsofopenfluidsystems AT novotnyantonin mathematicsofopenfluidsystems |