带源项和松弛项双曲守恒律方程差分解的有界性  

The boundedness of difference solution of hyperbolic conservation laws with source terms and relaxation terms

作　　者：董飞[1] 耿金波[1] 

机构地区：[1]浙江师范大学数理与信息工程学院,浙江金华321004

出　　处：《浙江师范大学学报（自然科学版）》2014年第4期412-415,共4页Journal of Zhejiang Normal University:Natural Sciences

基　　金：国家自然科学基金资助项目(11101375)

摘　　要：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.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 entropy solution.

关 键 词：双曲守恒律方程 Lax-Friedrichs格式 差分解 有界性 

分 类 号：O175.29[理学—数学]