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非线性扩散耦合系统的广义解的最优判据(英文)

Optimal Conditions on Generalized Solutions of Coupled Nonlinear Diffusion Systems
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摘要 This paper studies coupled nonlinear diffusion equations with more general nonlin- earities, subject to homogeneous Neumann boundary conditions. The necessary and suffcient 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. 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.
作者 李锋杰 刘丙辰 郑斯宁
机构地区 College of Mathematics and Computational Science School of Mathematical Sciences
出处 《Journal of Mathematical Research and Exposition》 CSCD 2009年第6期954-960,共7页 数学研究与评论（英文版）
基金 the National Natural Science Foundation of China (Nos.10471013 10771024)
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 nonlinear diffusion equations generalized solution classical solution.
分类号 O175.26 [理学—基础数学]
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参考文献11

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Journal of Mathematical Research and Exposition
2009年 第6期

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