不带凸条件双曲守恒律熵解渐近行为

Asymptotic Behavior of Entropy Solutions of Scalar Conservation Laws without Convexity

讨论了非凸双曲守恒律熵解的大时间渐近问题．若初值当｜ｘ｜充分大时为接触间断的Ｒｉｅｍａｎｎ数据时，熵解逼近相应Ｒｉｅｍａｎ问题解；当初值有紧支时，熵解以代数数率收敛于零．

The large time asymptotic behavior of solutions of non convex conservation laws is studied here. It is shown that if the initial data are just Riemann data of shock waves or contact discontinuities, the solution approaches that of the corresponding Riemann problem, and when the initial data have a compact support set, the solution converges to zero at an algebraic rate.