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...

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Главный автор: Qin, Yuming, 1963-
Формат: Livre numérique
Язык:Anglais
Опубликовано: Basel : Birkhäuser Basel [20..].
Cham : Springer Nature
Редактирование:1st ed. 2008.
Серии:Advances in Partial Differential Equations 184
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Примечание: L'impression du document génère 470 p.
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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
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245 1 0 |a Nonlinear Parabolic-Hyperbolic Coupled Systems and Their Attractors   |c Yuming Qin. 
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505 1 |a Preliminary A One-dimensional Nonlinear Viscous and Heat-conductive Real Gas A One-dimensional Polytropic Viscous and Heat-conductive Gas A Polytropic Ideal Gas in Bounded Annular Domains in A Polytropic Viscous Gas with Cylinder Symmetry in One-dimensional Nonlinear Thermoviscoelasticity A Nonlinear One-dimensional Thermoelastic System with a Thermal Memory One-dimensional Thermoelastic Equations of Hyperbolic Type Blow-up for the Cauchy Problem in Nonlinear One-dimensional Thermoelasticity Large-Time Behavior of Energy in Multi-Dimensional Elasticity 
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520 |a 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 
650 |a Thermoélasticité 
650 |a Équations différentielles paraboliques 
650 |a Attracteurs (mathématiques) 
650 |a Viscoélasticité 
650 |a Équations différentielles non linéaires 
650 |a Équations différentielles hyperboliques 
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