非齐次周期性双曲守恒律解的大时间行为

摘要

In this paper, we study the large time behavior of the Cauchy problem for non - homogeneous hyperbolic conservation laws. The initial value is assumed to be periodic and the source term has one zero point. Under the assumptions on some initial values w it is proved that the solution to formulae converges to a traveling wave. Our goal is to study the large time behavior of solution based on generalized characteristic line generated by C. M. Dafermos.%研究非齐次周期性双曲守恒律方程Cauchy问题解的大时间行为．其初值是周期的且源项含有一个零点，在某些初值的假设条件下我们证明了方程的解是收敛于行波的．主要是利用C．M．Dafermos的广义特征线方法研究解的大时间行为．