| 带退化粘性项的单个守恒律一般初边值问题的解的L~p-收敛率 |
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| 引用本文： | 易菊燕. 带退化粘性项的单个守恒律一般初边值问题的解的L~p-收敛率[J]. 江西师范大学学报(自然科学版), 2012, 0(4): 350-354 |
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| 作者姓名： | 易菊燕 |
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| 作者单位： | 暨南大学数学系,广东 广州 510632 |
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| 基金项目： | 国家自然科学基金(10871082)资助项目 |
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| 摘 要： | 在半空间中讨论具有一般边界的带退化粘性项的单个守恒律初边值问题的解的收敛率.在流函数为凸条件下,使用 L1-估计导出了解渐近衰减到稀疏波的1个 Lp-衰减估计,从而澄清了一般边界条件对衰减率的影响.
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| 关 键 词： | 退化粘性项 一般初边值问题 稀疏波 L1-估计 衰减估计 |
The L~p-Convergence Rate for Initial-Boundary Value Problem of Scalar Conservation Law with Degenerate Viscosity |
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| YI Ju-yan. The L~p-Convergence Rate for Initial-Boundary Value Problem of Scalar Conservation Law with Degenerate Viscosity[J]. Journal of Jiangxi Normal University (Natural Sciences Edition), 2012, 0(4): 350-354 |
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| Authors: | YI Ju-yan |
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| Affiliation: | YI Ju-yan(Department of Mathematics,Ji’nan University,Guangzhou Guangdong 510632,China) |
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| Abstract: | It is concerned with convergence rates toward the rarefaction waves of the solutions of the initial boundary data problem for scalar conservation law with degenerate viscosity and the general boundary data.Under the condition of convex flux,using L1-estimate derives a Lp-decay rate of the rarefaction wave for scalar conservation law with degenerate viscosity.From this decay rate estimate,the effect of the general boundary data on the decay rate is clarified. |
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| Keywords: | degenerate viscosity general initial-boundary value problem rarefaction wave L1-estimate decay rate |
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