具有非凸标量守恒律的解的衰减性

我们研究了具有周期初值数据的标量守恒律的方程的解的大时间行为，在很弱的非线性条件下，我们证明了当时间趋于无穷时其解收敛于一常数，本文的结果改进了以前的结果，因为我们只需在初值数据的平均值处流量是非线性的。

Decay of Solutions of Non-convex Scalar Conservation Laws

We study the large time behavior of solutions of scalar conservation laws with periodic initial data. Under a very weak nonlinearity condition,we prove that the solutions converge to constants as time tends to infinity. Our results improve the earlier ones since we only require the flux to be nonlinear at the mean value of the initial data.