THE ATTRACTORS OF PARTIAL DIFFERENTIAL EQUATIONS |
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Authors: | Liu Yingdong Li ZhengyuanDept.of Math. Beijing Univ. Beijing |
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Affiliation: | Liu Yingdong Li ZhengyuanDept.of Math.,Beijing Univ.,Beijing 1 0 0 871 |
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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: | Global attractor gradient system Lyapunov function. |
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