Global Classical Solutions For Quasilinear Hyperbolic Systems
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Global Classical Solutions For Quasilinear Hyperbolic Systems
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Author : Daqian Li
language : en
Publisher:
Release Date : 1994-09-06
Global Classical Solutions For Quasilinear Hyperbolic Systems written by Daqian Li and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-09-06 with Mathematics categories.
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.
Global Existence Of Classical Solutions To The Typical Free Boundary Problem For General Quasilinear Hyperbolic Systems And Its Applications
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Author : University of Minnesota. Institute for Mathematics and Its Applications
language : en
Publisher:
Release Date : 1989
Global Existence Of Classical Solutions To The Typical Free Boundary Problem For General Quasilinear Hyperbolic Systems And Its Applications written by University of Minnesota. Institute for Mathematics and Its Applications and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with categories.
Quasilinear Hyperbolic Systems And Dissipative Mechanisms
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Author : Ling Hsiao
language : en
Publisher: World Scientific
Release Date : 1998-02-24
Quasilinear Hyperbolic Systems And Dissipative Mechanisms written by Ling Hsiao and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-02-24 with Mathematics categories.
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.
Quasilinear Hyperbolic Systems And Waves
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Author : Alan Jeffrey
language : en
Publisher: Pitman Publishing
Release Date : 1976
Quasilinear Hyperbolic Systems And Waves written by Alan Jeffrey and has been published by Pitman Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Mathematics categories.
"The solution to quasilinear first order hyperbolic systems of equations may be interpretated in terms of waves, which belong to a certain function class and propagate in some suitable space, the work all has a common feature the fact that it adds to the understanding of what may be called nonlinear wave propagation" - preface.
Global Propagation Of Regular Nonlinear Hyperbolic Waves
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Author : Tatsien Li
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-09-01
Global Propagation Of Regular Nonlinear Hyperbolic Waves written by Tatsien Li and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-01 with Science categories.
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.
Recent Progress In Computational And Applied Pdes
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Author : Tony F. Chan
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Recent Progress In Computational And Applied Pdes written by Tony F. Chan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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.
Blowup For Nonlinear Hyperbolic Equations
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Author : Serge Alinhac
language : en
Publisher: Birkhauser
Release Date : 1995
Blowup For Nonlinear Hyperbolic Equations written by Serge Alinhac and has been published by Birkhauser this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
Examines the crash-and-burn fate that eventually overtakes almost all solutions to partial differential equations or systems. Deals with the classical solutions of global Cauchy problems for hyperbolic equations or systems. Based on a one-semester course for students or researchers with a basic knowledge of partial differential equations, especially of hyperbolic type. Annotation copyright by Book News, Inc., Portland, OR
Optimal Boundary Control And Boundary Stabilization Of Hyperbolic Systems
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Author : Martin Gugat
language : en
Publisher: Birkhäuser
Release Date : 2015-07-15
Optimal Boundary Control And Boundary Stabilization Of Hyperbolic Systems written by Martin Gugat and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-15 with Science categories.
This brief considers recent results on optimal control and stabilization of systems governed by hyperbolic partial differential equations, specifically those in which the control action takes place at the boundary. The wave equation is used as a typical example of a linear system, through which the author explores initial boundary value problems, concepts of exact controllability, optimal exact control, and boundary stabilization. Nonlinear systems are also covered, with the Korteweg-de Vries and Burgers Equations serving as standard examples. To keep the presentation as accessible as possible, the author uses the case of a system with a state that is defined on a finite space interval, so that there are only two boundary points where the system can be controlled. Graduate and post-graduate students as well as researchers in the field will find this to be an accessible introduction to problems of optimal control and stabilization.
One Dimensional Hyperbolic Conservation Laws And Their Applications
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Author : Jean-michel Coron
language : en
Publisher: World Scientific
Release Date : 2019-01-08
One Dimensional Hyperbolic Conservation Laws And Their Applications written by Jean-michel Coron and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-08 with Mathematics categories.
This book is a collection of lecture notes for the LIASFMA Shanghai Summer School on 'One-dimensional Hyperbolic Conservation Laws and Their Applications' which was held during August 16 to August 27, 2015 at Shanghai Jiao Tong University, Shanghai, China. This summer school is one of the activities promoted by Sino-French International Associate Laboratory in Applied Mathematics (LIASFMA in short). LIASFMA was established jointly by eight institutions in China and France in 2014, which is aimed at providing a platform for some of the leading French and Chinese mathematicians to conduct in-depth researches, extensive exchanges, and student training in the field of applied mathematics. This summer school has the privilege of being the first summer school of the newly established LIASFMA, which makes it significant.
Nonlinear Evolution Equations And Their Applications Proceedings Of The Luso Chinese Symposium
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Author : Tatsien Li
language : en
Publisher: World Scientific
Release Date : 1999-08-31
Nonlinear Evolution Equations And Their Applications Proceedings Of The Luso Chinese Symposium written by Tatsien Li and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-08-31 with categories.
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.