带松弛项的单个守恒律方程解的大时间状态估计  

Large time behavior of solutions to the one dimensional scalar conservation law with relaxation

作　　者：李念英[1] 

机构地区：[1]滨州学院数学与信息科学系,山东滨州256603

出　　处：《安徽大学学报（自然科学版）》2008年第5期27-29,共3页Journal of Anhui University(Natural Science Edition)

基　　金：滨州学院"青年人才创新工程"基金资助项目(BZXYQNLG200618)

摘　　要：论文考虑一维空间中带松弛项的单个守恒律方程.文[4]通过对线性化方程Green函数的估计得到整体解的逐点估计,论文在此基础上进一步得到解的大时间状态估计和Lp模估计,并反映出"弱"惠更斯原理.We studied the scalar conservation law with relaxation in one dimension. Article [ 4 ] has obtained the pointwise estimates of solutions by a detailed analysis of the Green function of the linearized system. Based on it we obtained the large time behavior and the Lp convergence rate of solutions. It was shown that the solution exhibits some ＂weak＂ Huyghens principle.

关 键 词：守恒律方程 松弛 耗散条件 逐点估计 格林函数 

分 类 号：O175[理学—数学]