摘要
In this paper we study the asymptotic behavior of global classical solutions to the Cauchy problem with initial data given on a semi-bounded axis for quasilinear hyperbolic systems.Based on the existence result on the global classical solution,we prove that,when t tends to the infinity,the solution approaches a combination of C1 travelling wave solutions with the algebraic rate(1+t)^-u,provided that the initial data decay with the rate(1+x)^-(l+u)(resp.(1-x)^-(1+u))as x tends to+∞(resp.-∞),where u is a positive constant.
基金
Supported by the National Natural Science Foundation of China(Grant No.10771038)
