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Asymptotic Behavior of Global Classical Solutions of Quasilinear Non-strictly Hyperbolic Systems with Weakly Linear Degeneracy*

โœ Scribed by Wenrong Dai


Book ID
106578225
Publisher
Coastal and Estuarine Research Federation
Year
2006
Tongue
English
Weight
264 KB
Volume
27
Category
Article
ISSN
1860-6261

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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,

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We consider the asymptotic behavior of the solution of quasilinear hyperbolic equation with linear damping subsequent to [K. Nishihara, J. Differential Equations 131 (1996), 171 188]. In that article, the system with damping v t &u x =0, u t +p(v) x = &:u, p$(v)<0(v>0) was treated, and the converge