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Titre : Mathematics of open fluid systems Type de document : texte imprimé Auteurs : Eduard Feireisl, Auteur ; Antonin Novotny (1958-2021), Auteur Année de publication : C2022 Importance : 1 vol. (XXVII-284 p.) Format : 24 cm ISBN/ISSN/EAN : 978-3-030-94792-7 Langues : Anglais (eng) Mots-clés : Analyse fonctionnelle ?Equations diff?erentielles Mod?eles math?ematiques Milieux continus, M?ecanique des Functional analysis Differential equations Mathematical models Continuum mechanics Résumé : 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 Mathematics of open fluid systems [texte imprimé] / Eduard Feireisl, Auteur ; Antonin Novotny (1958-2021), Auteur . - C2022 . - 1 vol. (XXVII-284 p.) ; 24 cm.
ISBN : 978-3-030-94792-7
Langues : Anglais (eng)
Mots-clés : Analyse fonctionnelle ?Equations diff?erentielles Mod?eles math?ematiques Milieux continus, M?ecanique des Functional analysis Differential equations Mathematical models Continuum mechanics Résumé : 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 Exemplaires (1)
Code-barres Cote Support Localisation Section Disponibilité BFS51069 510-510-649/01 Livre salle de consultation sur place 510Mathématiques Exclu du prêt