Nonlinear Parabolic-Hyperbolic Coupled Systems and Their Attractors
This book is designed to present some recent results on some nonlinear parabolic-hyp- bolic coupled systems arising from physics, mechanics and material science such as the compressible Navier-Stokes equations, thermo(visco)elastic systems and elastic systems. Some of the content of this book is bas...
Guardat en:
| Autor principal: | |
|---|---|
| Format: | Livre numérique |
| Idioma: | Anglais |
| Publicat: |
Basel :
Birkhäuser Basel
[20..].
Cham : Springer Nature |
| Edició: | 1st ed. 2008. |
| Col·lecció: | Advances in Partial Differential Equations
184 |
| Matèries: | |
| Accés en línia: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
L'impression du document génère 470 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Nonlinear parabolic-hyperbolic coupled systems and their attractors, Yuming Qin, Basel, Birkhäuser, 2008, 1 vol. (XV-465 p.), Operator theory, advances and applications, 978-3-7643-8813-3 • Nonlinear Parabolic-Hyperbolic Coupled Systems and Their Attractors, Texte imprimé, 9783764398453 • Nonlinear parabolic-hyperbolic coupled systems and their attractors, Yuming Qin, Basel, Birkhäuser, 2008, 1 vol. (XV-465 p.), Operator theory, advances and applications, 978-3-7643-8813-3 |
| Sumari: | This book is designed to present some recent results on some nonlinear parabolic-hyp- bolic coupled systems arising from physics, mechanics and material science such as the compressible Navier-Stokes equations, thermo(visco)elastic systems and elastic systems. Some of the content of this book is based on research carried out by the author and his collaborators in recent years. Most of it has been previously published only in original papers,andsomeofthematerialhasneverbeenpublisheduntilnow.Therefore,theauthor hopes that the book will bene?t both the interested beginner in the ?eld and the expert. AllthemodelsunderconsiderationinChapters2 10arebuiltonnonlinearevolution equations that are parabolic-hyperbolic coupled systems of partial differential equations with time t as one of the independentvariables. This type of partial differential equations arises not only in many ?elds of mathematics, but also in other branches of science such as physics, mechanics and materials science, etc. For example, some models studied in this book, such as the compressible Navier-Stokes equations (a 1D heat conductive v- cous real gas and a polytropic ideal gas) from ?uid mechanics, and thermo(visco)elastic systemsfrommaterialsscience, are typicalexamplesof nonlinearevolutionaryequations. It is well known that the properties of solutions to nonlinear parabolic-hyperbolic coupledsystems are very different from those of parabolicor hyperbolicequations. Since the 1970s,more andmore mathematicianshave begunto focustheir interests onthe study of local well-posedness, global well-posedness and blow-up of solutions in a ?nite time |
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| Descripció de l’ítem: | L'impression du document génère 470 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Bibliografia: | Bibliogr. Index |
| ISBN: | 9783764388140 |
| ISSN: | 2504-3595 |
| Accés: | 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 |