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Ma, Q.F., Wang, S.H. and Zhong, C.K. (2002) Necessary and Sufficient Conditions for the Existence of Global Attractors for Semigroup and Application. Indiana University Mathematics Journal, 51, 1541-1559.
https://doi.org/10.1512/iumj.2002.51.2255

被以下文章引用:

• 标题: 粘性Cahn-Hilliard方程的整体吸引子Global Attractor for the Viscous Cahn-Hilliard Equation

  作者: 任永华

  关键字: 粘性Cahn-Hilliard方程, 整体吸引子, 吸收集Viscous Cahn-Hilliard Equation, Global Attractor, Absorbing Set

  期刊名称: 《Advances in Applied Mathematics》, Vol.5 No.4, 2016-11-30

  摘要: 本文研究了带有非线性项的粘性Cahn-Hilliard方程的整体吸引子。首先验证了该方程有界吸收集的存在性，进而利用紧性方法得到整体吸引子的存在性。 We consider the global attractor of the viscous Cahn-Hilliard equation with a nonlinear term. Firstly, it proved the existence of bounded absorbing set, then obtained the existence of global attractor by a new method of obtaining the compactness.