| 偏微分方程的吸引子 |
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| 作者姓名： | LiuYingdong LiZhengyuan |
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| 作者单位： | Dept.ofMath.,BeijingUniv.,Beijing100871. |
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| 基金项目： | 中国科学院资助项目，19671005;19971004， |
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| 摘 要： | Abstract. In this paper the reaction-diffusion systems and the damped wave systems with non-linear terms of gradient form are studied ,and the conditions for making them to be gradient sys-tems are given. So the structure of attractors is clear and simple in some sense by the known re-sult. Some examples are given. Also the reaction-diffusion systems with general nonlinear termsare discussed.
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| 关 键 词： | 局部微分方程 反扩散系统 阻尼波系统 倾斜率 |
| 收稿时间： | 20 January 1999 |
The attractors of partial differential equations |
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| LiuYingdong LiZhengyuan.The attractors of partial differential equations[J].Applied Mathematics A Journal of Chinese Universities,2000,15(2):143-150. |
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| Authors: | Liu Yingdong Li Zhengyuan |
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| Institution: | (1) Dept. of Math., Beijing Univ., 100871 Beijing |
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| Abstract: | In this paper the reaction-diffusion systems and the damped wave systems with nonlinear terms of gradient form are studied,and the conditions for making them to be gradient systems are given.So the structure of attractors is clear and simple in some sense by the known result.Some examples are given.Also the reaction-diffusion systems with general nonlinear terms are discussed. |
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| Keywords: | 35K20 35L20 |
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