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Global Propagation of Regular Nonlinear Hyperbolic Waves
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 a...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Boston, MA :
Birkhäuser Boston : Imprint: Birkhäuser,
2009.
|
| Edición: | 1st ed. 2009. |
| Colección: | Progress in Nonlinear Differential Equations and Their Applications,
76 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
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| 001 | 978-0-8176-4635-6 | ||
| 003 | DE-He213 | ||
| 005 | 20220119122033.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2009 xxu| s |||| 0|eng d | ||
| 020 | |a 9780817646356 |9 978-0-8176-4635-6 | ||
| 024 | 7 | |a 10.1007/b78335 |2 doi | |
| 050 | 4 | |a QC793-793.5 | |
| 050 | 4 | |a QC174.45-174.52 | |
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| 100 | 1 | |a Li, Tatsien. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Global Propagation of Regular Nonlinear Hyperbolic Waves |h [electronic resource] / |c by Tatsien Li, Wang Libin. |
| 250 | |a 1st ed. 2009. | ||
| 264 | 1 | |a Boston, MA : |b Birkhäuser Boston : |b Imprint: Birkhäuser, |c 2009. | |
| 300 | |a X, 252 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Progress in Nonlinear Differential Equations and Their Applications, |x 2374-0280 ; |v 76 | |
| 505 | 0 | |a 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. | |
| 520 | |a 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. | ||
| 650 | 0 | |a Elementary particles (Physics). | |
| 650 | 0 | |a Quantum field theory. | |
| 650 | 0 | |a Mathematical analysis. | |
| 650 | 0 | |a Mathematical physics. | |
| 650 | 0 | |a Differential equations. | |
| 650 | 0 | |a Mathematics. | |
| 650 | 1 | 4 | |a Elementary Particles, Quantum Field Theory. |
| 650 | 2 | 4 | |a Analysis. |
| 650 | 2 | 4 | |a Theoretical, Mathematical and Computational Physics. |
| 650 | 2 | 4 | |a Differential Equations. |
| 650 | 2 | 4 | |a Applications of Mathematics. |
| 700 | 1 | |a Libin, Wang. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9780817671686 |
| 776 | 0 | 8 | |i Printed edition: |z 9780817642440 |
| 830 | 0 | |a Progress in Nonlinear Differential Equations and Their Applications, |x 2374-0280 ; |v 76 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/b78335 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||