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Nonlinear Parabolic-Hyperbolic Coupled Systems and Their Attractors: 184 (Advances in Partial Differential Equations) - Hardcover

 
9783764388133: Nonlinear Parabolic-Hyperbolic Coupled Systems and Their Attractors: 184 (Advances in Partial Differential Equations)

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This book presents recent results concerning the global existence in time, the large-time behavior, decays of solutions and the existence of global attractors for nonlinear parabolic-hyperbolic coupled systems of evolutionary partial differential equations.

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“The monograph is focused on presentation of recent results on some nonlinear parabolic-hyperbolic systems of partial differential equations arising from physics, mechanics and material science. Most of the results presented in this book are based on the original research of the author starting in 1997. ... The book is self-contained and the material is well organized for reading. It contains all necessary tools and background results enabling the reader to grasp the technical points easily.” (Daniel Sevcovic, Zentralblatt MATH, Vol. 1173, 2009)

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  • PublisherBirkhauser Verlag AG
  • Publication date2008
  • ISBN 10 3764388137
  • ISBN 13 9783764388133
  • BindingHardcover
  • LanguageEnglish
  • Number of pages468

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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 468 pp. Englisch. Seller Inventory # 9783764388133

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Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Most of the material appears in book form for the first timeChapter 1 gives a survey of basic necessary knowledge for those working in the field of partial differential equations at graduate levelMost of the material appears in book for. Seller Inventory # 5279955

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