03175nam a22004935i 4500 978-0-8176-4635-6 DE-He213 20260521092029.0 cr nn 008mamaa 100301s2009 xxu| s |||| 0|eng d 9780817646356 99780817646356 10.1007/b78335 doi Tatsien, Li. author. Global Propagation of Regular Nonlinear Hyperbolic Waves [electronic resource] / by Li Tatsien, Wang Libin. 1st. Boston : Birkhäuser Boston, 2009. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Progress in Nonlinear Differential Equations and Their Applications ; 76 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. MATHEMATICS. DIFFERENTIAL EQUATIONS. DIFFERENTIAL EQUATIONS, PARTIAL. MATHEMATICAL PHYSICS. MATHEMATICS. PARTIAL DIFFERENTIAL EQUATIONS. ORDINARY DIFFERENTIAL EQUATIONS. APPLICATIONS OF MATHEMATICS. MATHEMATICAL METHODS IN PHYSICS. Libin, Wang. author. SpringerLink (Online service) Springer eBooks Printed edition: 9780817642440 Progress in Nonlinear Differential Equations and Their Applications ; 76 http://dx.doi.org/10.1007/b78335 Ver el texto completo en las instalaciones del CICY ZDB-2-SMA ddc ER 35667 35667 0 0 ddc 0 0 LE CICY CICY EL 2025-10-06 0 2025-10-06 08:44:37 2025-10-06 ER