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Titlebook: Global Propagation of Regular Nonlinear Hyperbolic Waves; Li Tatsien,Wang Libin Book 2009 Birkh?user Boston 2009 Boundary value problem.OD

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書(shū)目名稱(chēng)Global Propagation of Regular Nonlinear Hyperbolic Waves
編輯Li Tatsien,Wang Libin
視頻videohttp://file.papertrans.cn/387/386535/386535.mp4
概述Provides a complete theory for waves with general system conditions and boundary conditions.Features many related applications to mechanics and physics.Contains much material based on the results obta
叢書(shū)名稱(chēng)Progress in Nonlinear Differential Equations and Their Applications
圖書(shū)封面Titlebook: Global Propagation of Regular Nonlinear Hyperbolic Waves; Li Tatsien,Wang Libin Book 2009 Birkh?user Boston 2009 Boundary value problem.OD
描述.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..
出版日期Book 2009
關(guān)鍵詞Boundary value problem; ODEs; PDEs; cauchy problem; global propagation; linear optimization; mechanics; non
版次1
doihttps://doi.org/10.1007/b78335
isbn_ebook978-0-8176-4635-6Series ISSN 1421-1750 Series E-ISSN 2374-0280
issn_series 1421-1750
copyrightBirkh?user Boston 2009
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Web Browsing with Mobile Safariin situations, for example, the piston problem, the conditions of .. compatibility may fail at the corner where the initial axis meets the boundary (see [22], [26], [50], and [84]). Moreover, one also uses this kind of problem in numerical analysis (see [88] and [94]).
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The Cauchy Problem,s chapter we consider the global existence and uniqueness of the classical solution to the Cauchy problem for quasilinear hyperbolic systems with small and smooth initial data satisfying certain decaying properties.
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Generalized Nonlinear Initial-Boundary Riemann Problem,in situations, for example, the piston problem, the conditions of .. compatibility may fail at the corner where the initial axis meets the boundary (see [22], [26], [50], and [84]). Moreover, one also uses this kind of problem in numerical analysis (see [88] and [94]).
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iPhone Design Award-Winning ProjectsIn this monograph we shall consider the nonlinear hyperbolic waves described by the following first-order quasilinear hyperbolic system: where .=(.., … , ..). is the unknown vector function of (.,.) and .(.)=(..(.)) is an . × . matrix with suitably smooth entries ..(.) (., . = 1, … , .).
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Buttons & Labels with Multiple Graphics,In this chapter we consider the one-sided mixed initial-boundary value problem for quasilinear hyperbolic systems with nonlinear boundary conditions on the domain {(., .) ∣ . ≥ 0, . ≥ 0}.
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