带源项和松弛项双曲守恒律方程差分解的有界性磁

摘要

The convergence of Lax-Friedrichs′scheme for hyperbolic conservation laws with source terms and relaxation terms was discussed, the boundedness of its total variation of approximate solution was obtained. The result would benefit for further study on the existence and uniqueness of the conservation laws′weak entro-py solution.%讨论了对带有源项和松弛项双曲守恒律方程的Lax-Friedrichs格式的收敛性，得到了其逼近解的全变差有界性，从而为进一步研究双曲守恒律方程弱熵解的存在唯一性提供了依据。