带松弛项的单个守恒律方程解的时态渐近性质  

Asymptotic Behavior of Solutions to the one Dimensional Scalar Conservation Law with Relaxation

作　　者：李念英[1] 王维克[1] 

机构地区：[1]上海交通大学数学系,上海200240

出　　处：《应用数学》2006年第2期348-355,共8页Mathematica Applicata

基　　金：国家自然科学基金资助项目(10131050)

摘　　要：本文研究一维空间中带松弛项的单个守恒律方程解的大时间状态估计.在松弛项满足耗散条件下通过对线性化方程Green函数的逐点估计得到方程解在时间充分大时的衰减估计,并由此反映出“弱”惠更斯原理.We study the tlme-asymptotic behavior of solutions for the scalar conservation law with relaxation in one-dimension. The pointwise estimates of solutions are obtained under the condition that the relaxation system satisfies the dissipative condition. Our approach is obtained on a detailed analysis of the Green＇s function of the linearized system. It is 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 GREEN函数 

分 类 号：O175[理学—数学]