摘要
In this paper,we study the asymptotic behavior of global classical solutions of the Cauchy problem for general quasilinear hyperbolic systems with constant multiple and weakly linearly degenerate characteristic fields.Based on the existence of global classical solution proved by Zhou Yi et al.,we show that,when t tends to infinity,the solution approaches a combination of C^1 travelling wave solutions,provided that the total variation and the L^1 norm of initial data are sufficiently small.
基金
Project supported by the National Natural Science Foundation of China(No.10371073)
