Global Classical Solutions for Quasilinear Hyperbolic Systems PDF Download

Author: Daqian Li
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 340

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Book Description
A systematic presentation of the global classical solution and the global classical discontinuous solution to quasilinear hyperbolic systems. This book is a result of the author's research on the Cauchy problem, boundary value problems, free boundary problems and the generalised Riemann problem.

Author: Daqian Li
Publisher: John Wiley & Sons
ISBN: 9782225843921
Category : Boundary value problems
Languages : en
Pages : 315

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Book Description

Author: Tatsien Li
Publisher: Springer Science & Business Media
ISBN: 0817646353
Category : Science
Languages : en
Pages : 256

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Book Description
This monograph describes global propagation of regular nonlinear hyperbolic waves described by first-order quasilinear hyperbolic systems in one dimension. The exposition is clear, concise, and unfolds systematically beginning with introductory material and leading to the original research of the authors. Topics are motivated with a number of physical examples from the areas of elastic materials, one-dimensional gas dynamics, and waves. Aimed at researchers and graduate students in partial differential equations and related topics, this book will stimulate further research and help readers further understand important aspects and recent progress of regular nonlinear hyperbolic waves.

Author: Ling Hsiao
Publisher: World Scientific
ISBN: 9814497185
Category : Mathematics
Languages : en
Pages : 233

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Book Description
This book introduces the recent developments in the subject of quasilinear hyperbolic systems with dissipation, such as frictional damping, relaxation, viscosity and heat diffusion. The mathematical theory behind this subject is emphasized in two ways. One emphasis is based on understanding the influence of the dissipation mechanism on the qualitative behavior of solutions, such as the nonlinear diffusive phenomena caused by damping, and other phenomena (including phase transition) for the case with viscosity and heat diffusion. The second emphasis is to take the systems with the dissipation mechanism as an approach to approximating the corresponding system of quasilinear hyperbolic conservation laws - the zero-limit relaxation, or the zero-limit viscosity, and the related topic of nonlinear stability of waves.

Author: Tony F. Chan
Publisher: Springer Science & Business Media
ISBN: 146150113X
Category : Mathematics
Languages : en
Pages : 433

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Book Description
The book discusses some key scientific and technological developments in computational and applied partial differential equations. It covers many areas of scientific computing, including multigrid methods, image processing, finite element analysis and adaptive computations. It also covers software technology, algorithms and applications. Most papers are of research level, and are contributed by some well-known mathematicians and computer scientists. The book will be useful to engineers, computational scientists and graduate students.

Author: Tatsien Li
Publisher: World Scientific
ISBN: 9814543446
Category :
Languages : en
Pages : 334

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Book Description
This book discusses recent trends and developments in the area of nonlinear evolution equations. It is a collection of invited lectures on the following topics: nonlinear parabolic equations (systems); nonlinear hyperbolic systems; free boundary problems; conservation laws and shock waves; travelling and solitary waves; regularity, stability and singularity, etc.

Author: Yuming Qin
Publisher: Springer Science & Business Media
ISBN: 3764388145
Category : Mathematics
Languages : en
Pages : 472

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Book Description
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.

Author: Gui-Qiang Chen
Publisher: World Scientific
ISBN: 9814273287
Category : Mathematics
Languages : en
Pages : 401

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Book Description
This book is a collection of lecture notes on Nonlinear Conservation Laws, Fluid Systems and Related Topics delivered at the 2007 Shanghai Mathematics Summer School held at Fudan University, China, by world''s leading experts in the field. The volume comprises five chapters that cover a range of topics from mathematical theory and numerical approximation of both incompressible and compressible fluid flows, kinetic theory and conservation laws, to statistical theories for fluid systems. Researchers and graduate students who want to work in this field will benefit from this essential reference as each chapter leads readers from the basics to the frontiers of the current research in these areas.

Author: D. Bainov
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3112313925
Category : Mathematics
Languages : en
Pages : 476

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Book Description
No detailed description available for "Proceedings of the Eighth International Colloquium on Differential Equations, Plovdiv, Bulgaria, 18-23 August, 1997".

Author: Antonín Novotny
Publisher: Oxford University Press, USA
ISBN: 0198530846
Category : Mathematics
Languages : en
Pages : 527

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Book Description
These parts are presented in a textbook style with auxiliary material in supporting sections and appendices. The book includes an index and bibliography, thus allowing for quick orientation among the vast collection of literature on the mathematical theory of compressible flow."--Jacket.