| 非线性扩散耦合系统的广义解的最优判据 |
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| 引用本文： | 李锋杰,刘丙辰,郑斯宁.非线性扩散耦合系统的广义解的最优判据[J].数学研究及应用,2009,29(6):954-960. |
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| 作者姓名： | 李锋杰 刘丙辰 郑斯宁 |
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| 作者单位： | 中国石油大学(华东)数学与计算科学学院, 山东 东营 257061;中国石油大学(华东)数学与计算科学学院, 山东 东营 257061;大连理工大学数学科学学院, 辽宁 大连 116024 |
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| 基金项目： | 国家自然科学基金(Nos.10471013; 10771024). |
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| 摘 要： | This paper studies coupled nonlinear diffusion equations with more general nonlinearities, subject to homogeneous Neumann boundary conditions. The necessary and sufficient conditions are obtained for the existence of generalized solutions of the system, which extend the known results for nonlinear diffusion systems with more special nonlinearities.
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| 关 键 词： | 非线性扩散方程 系统解 Neumann边界条件 广义 耦合 解的存在性 非线性传播 非线性系统 |
| 收稿时间： | 2009/4/23 0:00:00 |
| 修稿时间： | 2009/5/18 0:00:00 |
Optimal Conditions on Generalized Solutions of Coupled Nonlinear Diffusion Systems |
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| LI Feng Jie,LIU Bing Chen and ZHENG Si Ning.Optimal Conditions on Generalized Solutions of Coupled Nonlinear Diffusion Systems[J].Journal of Mathematical Research with Applications,2009,29(6):954-960. |
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| Authors: | LI Feng Jie LIU Bing Chen and ZHENG Si Ning |
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| Institution: | College of Mathematics and Computational Science, China University of Petroleum, Shandong 257061, China;College of Mathematics and Computational Science, China University of Petroleum, Shandong 257061, China;School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, China |
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| Abstract: | This paper studies coupled nonlinear diffusion equations with more general nonlinearities, subject to homogeneous Neumann boundary conditions. The necessary and sufficient conditions are obtained for the existence of generalized solutions of the system, which extend the known results for nonlinear diffusion systems with more special nonlinearities. |
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| Keywords: | nonlinear diffusion equations generalized solution classical solution |
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