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＜電子ブック＞
Global Propagation of Regular Nonlinear Hyperbolic Waves / by Tatsien Li, Wang Libin
(Progress in Nonlinear Differential Equations and Their Applications. ISSN:23740280 ; 76)

版	1st ed. 2009.
出版者	(Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser)
出版年	2009
本文言語	英語
大きさ	X, 252 p : online resource
著者標目	*Li, Tatsien author Libin, Wang author SpringerLink (Online service)
件　名	LCSH:Elementary particles (Physics) LCSH:Quantum field theory LCSH:Mathematical analysis LCSH:Mathematical physics LCSH:Differential equations LCSH:Mathematics FREE:Elementary Particles, Quantum Field Theory FREE:Analysis FREE:Theoretical, Mathematical and Computational Physics FREE:Differential Equations FREE:Applications of Mathematics
一般注記	Preliminaries -- The Cauchy Problem -- The Cauchy Problem (Continued) -- Cauchy Problem on a Semibounded Initial Axis -- One-Sided Mixed Initial-Boundary Value Problem -- Generalized Riemann Problem -- Generalized Nonlinear Initial-Boundary Riemann Problem -- Inverse Generalized Riemann Problem -- Inverse Piston Problem 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 which leads to the original research of the authors. Using the concept of weak linear degeneracy and the method of (generalized) normalized coordinates, this book establishes a systematic theory for the global existence and blowup mechanism of regular nonlinear hyperbolic waves with small amplitude for the Cauchy problem, the Cauchy problem on a semi-bounded initial data, the one-sided mixed initial-boundary value problem, the generalized Riemann problem, the generalized nonlinear initial-boun dary Riemann problem, and some related inverse problems. Motivation is given via a number of physical examples from the areas of elastic materials, one-dimensional gas dynamics, and waves. Global Propagation of Regular Nonlinear Hyperbolic Waves will stimulate further research and help readers further understand important aspects and recent progress of regular nonlinear hyperbolic waves HTTP:URL=https://doi.org/10.1007/b78335

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