| 一类四阶非线性发展方程的整体吸引子 |
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| 引用本文： | 杨佳雪,段宁.一类四阶非线性发展方程的整体吸引子[J].吉林大学学报(理学版),2022,60(4):793-799. |
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| 作者姓名： | 杨佳雪 段宁 |
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| 作者单位： | 东北大学 理学院, 沈阳 110004 |
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| 摘 要： | 利用解的先验估计和算子半群的渐近紧性, 考虑描述动力学控制晶体生长过程的四阶非线性发展方程的整体动力学行为, 证明当方程的初值属于H1(0,1)时, 在H4(0,1)空间中方程整体吸引子的存在性.
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| 关 键 词： | 整体吸引子 非线性发展方程 整体弱解 |
| 收稿时间： | 2021-11-05 |
Global Attractor for a Class of Fourth-Order Nonlinear Evolution Equations |
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| YANG Jiaxue,DUAN Ning.Global Attractor for a Class of Fourth-Order Nonlinear Evolution Equations[J].Journal of Jilin University: Sci Ed,2022,60(4):793-799. |
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| Authors: | YANG Jiaxue DUAN Ning |
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| Institution: | College of Sciences, Northeastern University, Shenyang 110004, China |
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| Abstract: | By using a priori estimates of the solution and the asymptotic compactness of the operator semigroup, we considered the global dynamic behavior of a fourth-order nonlinear evolution equation describing the dynamic controll of crystal growth process, and proved the existence of global attractor of the equation in H4(0,1) space when the initial value of the equation belonged to H1(0,1). |
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| Keywords: | global attractor nonlinear evolution equation global weak solution |
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