Asymptotic behavior of global classical solutions of quasilinear hyperbolic systems
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 1203-1220 |
| Journal / Publication | Communications in Partial Differential Equations |
| Volume | 28 |
| Issue number | 5-6 |
| Publication status | Published - 2003 |
Link(s)
Abstract
We study the asymptotic behavior of global classical solutions of the Cauchy problem for general quasilinear hyperbolic systems with weakly linearly degenerate characteristic fields. Based on the existence results on the global classical solution, we prove that, when t tends to infinity, the solution approaches a combination of C1 travelling wave solutions at algebraic rate (1 + t)-μ, provided that the initial data decay at the rate (1 + |x|)-(1+μ) as x tends to ±∞, where μ, is a positive constant.
Research Area(s)
- Global classical solution, Normalized coordinates, Quasilinear hyperbolic system, Travelling wave, Weak linear degeneracy
Citation Format(s)
Asymptotic behavior of global classical solutions of quasilinear hyperbolic systems. / Kong, De-Xing; Yang, Tong.
In: Communications in Partial Differential Equations, Vol. 28, No. 5-6, 2003, p. 1203-1220.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
