Attractors of Hamiltonian nonlinear partial differential equations:
This monograph is the first to present the theory of global attractors of Hamiltonian partial differential equations. A particular focus is placed on the results obtained in the last three decades, with chapters on the global attraction to stationary states, to solitons, and to stationary orbits. Th...
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| Hauptverfasser: | , |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2022
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| Schriftenreihe: | Cambridge Tracts in Mathematics
224 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | This monograph is the first to present the theory of global attractors of Hamiltonian partial differential equations. A particular focus is placed on the results obtained in the last three decades, with chapters on the global attraction to stationary states, to solitons, and to stationary orbits. The text includes many physically relevant examples and will be of interest to graduate students and researchers in both mathematics and physics. The proofs involve novel applications of methods of harmonic analysis, including Tauberian theorems, Titchmarsh's convolution theorem, and the theory of quasimeasures. As well as the underlying theory, the authors discuss the results of numerical simulations and formulate open problems to prompt further research |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 21 Sep 2021) |
| Beschreibung: | 1 Online-Ressource (x, 218 Seiten) |
| ISBN: | 9781009025454 |
| DOI: | 10.1017/9781009025454 |
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| discipline | Physik Mathematik |
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| doi_str_mv | 10.1017/9781009025454 |
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| isbn | 9781009025454 |
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| spelling | Komeč, Aleksandr I. 1946- (DE-588)120962063 aut Attractors of Hamiltonian nonlinear partial differential equations Alexander Komech, Elena Kopylova Cambridge Cambridge University Press 2022 1 Online-Ressource (x, 218 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge Tracts in Mathematics 224 Title from publisher's bibliographic system (viewed on 21 Sep 2021) This monograph is the first to present the theory of global attractors of Hamiltonian partial differential equations. A particular focus is placed on the results obtained in the last three decades, with chapters on the global attraction to stationary states, to solitons, and to stationary orbits. The text includes many physically relevant examples and will be of interest to graduate students and researchers in both mathematics and physics. The proofs involve novel applications of methods of harmonic analysis, including Tauberian theorems, Titchmarsh's convolution theorem, and the theory of quasimeasures. As well as the underlying theory, the authors discuss the results of numerical simulations and formulate open problems to prompt further research Hamilton-Jacobi equations Hamiltonian operator Kopylova, Elena 1960- (DE-588)1026237890 aut Erscheint auch als Druck-Ausgabe 978-1-31-651691-1 https://doi.org/10.1017/9781009025454 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Komeč, Aleksandr I. 1946- Kopylova, Elena 1960- Attractors of Hamiltonian nonlinear partial differential equations Hamilton-Jacobi equations Hamiltonian operator |
| title | Attractors of Hamiltonian nonlinear partial differential equations |
| title_auth | Attractors of Hamiltonian nonlinear partial differential equations |
| title_exact_search | Attractors of Hamiltonian nonlinear partial differential equations |
| title_exact_search_txtP | Attractors of Hamiltonian nonlinear partial differential equations |
| title_full | Attractors of Hamiltonian nonlinear partial differential equations Alexander Komech, Elena Kopylova |
| title_fullStr | Attractors of Hamiltonian nonlinear partial differential equations Alexander Komech, Elena Kopylova |
| title_full_unstemmed | Attractors of Hamiltonian nonlinear partial differential equations Alexander Komech, Elena Kopylova |
| title_short | Attractors of Hamiltonian nonlinear partial differential equations |
| title_sort | attractors of hamiltonian nonlinear partial differential equations |
| topic | Hamilton-Jacobi equations Hamiltonian operator |
| topic_facet | Hamilton-Jacobi equations Hamiltonian operator |
| url | https://doi.org/10.1017/9781009025454 |
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