Entropy methods for the Boltzmann equation : Lectures from a Special Semester at the Centre Émile Borel, Institut H. Poincaré, Paris, 2001
Entropy and entropy production have recently become mathematical tools for kinetic and hydrodynamic limits, when deriving the macroscopic behaviour of systems from the interaction dynamics of their many microscopic elementary constituents at the atomic or molecular level. During a special semester o...
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| Những tác giả chính: | , |
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| Tác giả khác: | , |
| Định dạng: | Livre numérique |
| Ngôn ngữ: | Anglais |
| Được phát hành: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Phiên bản: | 1st ed. 2008. |
| Loạt: | Lecture Notes in Mathematics
1916 |
| Những chủ đề: | |
| Truy cập trực tuyến: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Chú thích: |
L'impression du document génère 121 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Entropy methods for the Boltzmann equation, lectures from a special semester at the Centre Émile Borel, Institut H. Poincaré, Paris, 2001, Fraydoun Rezakhanlou, Cédric Villani, Berlin, Springer, 2007, 1 vol. (XII-105 p.), Lecture notes in mathematics, 978-3-540-73704-9 • Entropy Methods for the Boltzmann Equation, Texte imprimé, 9783540841142 • Entropy methods for the Boltzmann equation, lectures from a special semester at the Centre Émile Borel, Institut H. Poincaré, Paris, 2001, Fraydoun Rezakhanlou, Cédric Villani, Berlin, Springer, 2007, 1 vol. (XII-105 p.), Lecture notes in mathematics, 978-3-540-73704-9 |
| Tóm tắt: | Entropy and entropy production have recently become mathematical tools for kinetic and hydrodynamic limits, when deriving the macroscopic behaviour of systems from the interaction dynamics of their many microscopic elementary constituents at the atomic or molecular level. During a special semester on Hydrodynamic Limits at the Centre Émile Borel in Paris, 2001 two of the research courses were held by C. Villani and F. Rezakhanlou. Both illustrate the major role of entropy and entropy production in a mutual and complementary manner and have been written up and updated for joint publication. Villani describes the mathematical theory of convergence to equilibrium for the Boltzmann equation and its relation to various problems and fields, including information theory, logarithmic Sobolev inequalities and fluid mechanics. Rezakhanlou discusses four conjectures for the kinetic behaviour of the hard sphere models and formulates four stochastic variations of this model, also reviewing known results for these |
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| Mô tả sách: | L'impression du document génère 121 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Thư mục: | Notes bibliogr. Index |
| số ISBN: | 9783540737056 |
| số ISSN: | 1617-9692 |
| Truy cập: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |