Andere Kunden interessierten sich auch für
![Global Well-posedness of Nonlinear Parabolic-Hyperbolic Coupled Systems]( "Global Well-posedness of Nonlinear Parabolic-Hyperbolic Coupled Systems")
Global Well-posedness of Nonlinear Parabolic-Hyperbolic Coupled Systems41,99 €![Analytic Methods In The Theory Of Differential And Pseudo-Differential Equations Of Parabolic Type]( "Analytic Methods In The Theory Of Differential And Pseudo-Differential Equations Of Parabolic Type")
Analytic Methods In The Theory Of Differential And Pseudo-Differential Equations Of Parabolic Type83,99 €![Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations]( "Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations")
Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations83,99 €![Control of Coupled Partial Differential Equations]( "Control of Coupled Partial Differential Equations")
Control of Coupled Partial Differential Equations106,99 €![Modern Trends in Pseudo-Differential Operators]( "Modern Trends in Pseudo-Differential Operators")
Modern Trends in Pseudo-Differential Operators83,99 €![Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems]( "Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems")
Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems81,99 €![Function Spaces, Differential Operators and Nonlinear Analysis]( "Function Spaces, Differential Operators and Nonlinear Analysis")
Function Spaces, Differential Operators and Nonlinear Analysis42,99 €
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.
From the reviews:
"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)
"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)