Global propagation of regular nonlinear hyperbolic waves
著者
書誌事項
Global propagation of regular nonlinear hyperbolic waves
（Progress in nonlinear differential equations and their applications / editor, Haim Brezis, v. 76）
Birkhäuser, c2009
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内容説明・目次
内容説明
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.
目次
Preface.-. Introduction.-. Preliminaries.-.Cauchy problem.-. Cauchy problem (Continued).-. Cauchy Problem on a semi-bounded 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.-. Bibliography
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