| 带松弛项的单个守恒律方程解的大时间状态估计 |
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| 引用本文： | 李念英.带松弛项的单个守恒律方程解的大时间状态估计[J].安徽大学学报(自然科学版),2008,32(5). |
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| 作者姓名： | 李念英 |
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| 作者单位： | 滨州学院,数学与信息科学系,山东,滨州,256603 |
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| 基金项目： | 滨州学院青年人才创新工程基金 |
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| 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.
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| 关 键 词： | 守恒律方程 松弛 耗散条件 逐点估计 格林函数 |
Large time behavior of solutions to the one dimensional scalar conservation law with relaxation |
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| LI Nian-ying.Large time behavior of solutions to the one dimensional scalar conservation law with relaxation[J].Journal of Anhui University(Natural Sciences),2008,32(5). |
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| Authors: | LI Nian-ying |
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| Abstract: | 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. |
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| Keywords: | conservation law relaxation dissipative condition pointwise estimate Green's function |
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