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Global Classical Solutions for Quasilinear Hyperbolic Systems.by Li Ta-tsien

โœ Scribed by Review by: Mikhael Kovalyov

Book ID
124184704
Publisher
Society for Industrial and Applied Mathematics
Year
1996
Tongue
English
Weight
319 KB
Volume
38
Category
Article
ISSN
0036-1445

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๐Ÿ“œ SIMILAR VOLUMES

Global existence of classical solutions
Global existence of classical solutions to the Cauchy problem on a semi-bounded initial axis for quasilinear hyperbolic systems
โœ Ta-Tsien Li; Libin B. Wang ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 243 KB

In this paper, we consider the Cauchy problem with initial data given on a semi-bounded axis for quasilinear hyperbolic systems. Under the assumption that the leftmost (resp. rightmost) eigenvalue is weakly linearly degenerate, we obtain the global existence and uniqueness of C 1 solution with small

Asymptotic behaviour of global classical
Asymptotic behaviour of global classical solutions of diagonalizable quasilinear hyperbolic systems
โœ Jianli Liu; Yi Zhou ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 176 KB

## Abstract This paper is concerned with the asymptotic behaviour of global classical solutions of diagonalizable quasilinear hyperbolic systems with linearly degenerate characteristic fields. Based on the existence results of global classical solutions, we prove that when __t__ tends to infinity,