| 一类耦合梁方程组在非线性边界条件下解的长时间动力行为（英文） |
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| 引用本文： | 王 瑜,张建文.一类耦合梁方程组在非线性边界条件下解的长时间动力行为（英文）[J].应用数学,2020,33(1):25-35. |
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| 作者姓名： | 王 瑜 张建文 |
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| 作者单位： | 太原理工大学数学学院, 山西 太原 030024 |
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| 基金项目： | Supported by the National Natural Science Foundation of China(11872264) |
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| 摘 要： | 本文研究一类具有强阻尼项的耦合梁方程组在非线性边界条件下的长时间动力行为,首先利用一些常用不等式和先验估计证明该系统存在唯一的整体解,其次通过证明系统存在有界吸收集和半群的渐近光滑性得到整体吸引子的存在性.
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| 关 键 词： | 耦合梁方程组 非线性边界条件 整体 吸引子 |
Long-Time Dynamics of Solutions for a Class of Coupling Beam Equations with Nonlinear Boundary Conditions |
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| WANG Yu,ZHANG Jianwen.Long-Time Dynamics of Solutions for a Class of Coupling Beam Equations with Nonlinear Boundary Conditions[J].Mathematica Applicata,2020,33(1):25-35. |
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| Authors: | WANG Yu ZHANG Jianwen |
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| Institution: | (Department of Mathematics,Taiyuan University of Technology,Taiyuan 030024,China) |
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| Abstract: | In this paper,we study long-time dynamics of solutions for a class of coupling beam equations with strong dampings under nonlinear boundary conditions.Firstly,we prove the existence and uniqueness of global solutions by some inequalities and prior estimates methods.Secondly,by an absorbing set and asymptotic compactness of the related solution semigroup,we prove the existence of a global attractor. |
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| Keywords: | Coupling beam equation Nonlinear boundary condition Global attractor |
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