学术
国际标准刊号：ISSN 1001-9847
国内统一刊号：CN 42-1184
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．[著者文摘]
文章出处:
《应用数学》-2006年19卷2期 -348-355页
Mathematica Applicata
分 类 号:
文献标识码:
A
文章编号:
1001-9847（2006）02-0348-08
[参考文献]
Asymptotic Behavior of Solutions to the one Dimensional Scalar Conservation Law with Relaxation
LI Nian-ying ,WANG Wei ke （Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China）
Abstract:
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.[著者文摘]
Key words:
Conservation law; Relaxation; Dissipative condition; Pointwise estimate; Green＇s function
收稿日期: 2005-06-27
基金资助:
国家自然科学基金资助项目（10131050）
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