| 非凸条件的单个粘性守恒律的初边值问题解的渐近性态 |
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| 引用本文： | 洪绍勇,刘红霞. 非凸条件的单个粘性守恒律的初边值问题解的渐近性态[J]. 湛江师范学院学报, 2010, 31(6): 31-37 |
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| 作者姓名： | 洪绍勇 刘红霞 |
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| 作者单位： | [1]广东商学院华商学院会计系,广东广州511300 [2]暨南大学数学系,广东广州510632 |
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| 基金项目： | 国家自然科学基金资助项目，广东省自然科学基金资助项目 |
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| 摘 要： | 对具有一条边界影响的的单个粘性守恒律,用L2加权能量方法证明了在初始值为小扰动的情形下,相应的具有非凸条件的初边值问题解的整体存在性及其解渐近收敛到一个稳定波和稀疏波的线性叠加.
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| 关 键 词： | 初边值问题 L2加权能量方法 先验估计 |
Asymptotic Behaviors of Solutions for the Initial-Boundary Value Problem of Scalar Viscous Conservation Law with Non-convexity |
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| HONG Shaoyong,LIU Hongxia. Asymptotic Behaviors of Solutions for the Initial-Boundary Value Problem of Scalar Viscous Conservation Law with Non-convexity[J]. Journal of Zhanjiang Normal College, 2010, 31(6): 31-37 |
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| Authors: | HONG Shaoyong LIU Hongxia |
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| Affiliation: | 1.Department of Accounting,Huashang University,Guangzhou 511300,Guangdong,China;2.Department of Mathematics,Jinan University,Guangzhou,Guangdong 510632,China) |
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| Abstract: | Under the condition of small perturbation for the initial data,using L2 weighted energy method proves that the global solutions of corresponding general initial-boundary value problem exist and converge time-asymptotically to the linear superposition of the stationary wave and the rarefaction wave for scalar viscous conservation law with one-side boundary effect. |
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| Keywords: | initial-boundary value problem L2 weighted energy method a priori estimate |
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