Author: Daqian LiPublisher: John Wiley & Sons
ISBN: 9782225843921
Category : Boundary value problems
Languages : en
Pages : 315
Book Description
Global Classical Solutions for Quasilinear Hyperbolic Systems
Author: Daqian LiPublisher: John Wiley & Sons
ISBN: 9782225843921
Category : Boundary value problems
Languages : en
Pages : 315
Book Description
Global Classical Solutions for Quasilinear Hyperbolic Systems
Author: Daqian LiPublisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 340
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.
Global Existence of Classical Solutions to the Typical Free Boundary Problem for General Quasilinear Hyperbolic Systems and Its Applications
Author: University of Minnesota. Institute for Mathematics and Its ApplicationsPublisher:
ISBN:
Category :
Languages : en
Pages : 23
Book Description
On a global classical solutions of a quasilinear hyperbolic equation
Author: D. C. PereiraQuasilinear Hyperbolic Systems And Dissipative Mechanisms
Author: Ling HsiaoPublisher: World Scientific
ISBN: 9814497185
Category : Mathematics
Languages : en
Pages : 233
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.
Global Propagation of Regular Nonlinear Hyperbolic Waves
Author: Tatsien LiPublisher: Springer Science & Business Media
ISBN: 0817646353
Category : Science
Languages : en
Pages : 256
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.
Remarks on the Blowup Rate of Classical Solutions to Quasilinear Multidimensional Hyperbolic Systems
Author: Serge AlinhacQuasilinear Hyperbolic Systems and Waves
Author: Alan JeffreyPublisher: Pitman Publishing
ISBN:
Category : Mathematics
Languages : en
Pages : 254
Book Description
"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.
Recent Progress in Computational and Applied PDES
Author: Tony F. ChanPublisher: Springer Science & Business Media
ISBN: 146150113X
Category : Mathematics
Languages : en
Pages : 433
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.
One-dimensional Hyperbolic Conservation Laws And Their Applications
Author: Jean-michel CoronPublisher: World Scientific
ISBN: 9813276193
Category : Mathematics
Languages : en
Pages : 395
Book Description
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.