| 一类Kirchhoff型波动方程全局吸引子的存在性 |
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| 引用本文： | 牛丽芳,卫钱瑞. 一类Kirchhoff型波动方程全局吸引子的存在性[J]. 数学的实践与认识, 2021, 0(1): 186-192 |
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| 作者姓名： | 牛丽芳 卫钱瑞 |
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| 作者单位： | 1.太原理工大学数学学院 |
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| 基金项目： | 山西省自然科学基金(201801D121016)。 |
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| 摘 要： | 利用Galerkin方法,研究了一类具有结构阻尼的kirchhoff型波动方程,方程是截面弹性杆运动的模型.通过各种不等式技巧及算子半群理论,证明了方程的解半群具有全局吸引子.
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| 关 键 词： | Galerkin方法 kirchhoff型波动方程 全局吸引子 |
Existence of Global Attractors for a Kind of Kirchhoff Type Wave Equation with Strong Damping |
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| NIU Li-fang,WEI Qian-rui. Existence of Global Attractors for a Kind of Kirchhoff Type Wave Equation with Strong Damping[J]. Mathematics in Practice and Theory, 2021, 0(1): 186-192 |
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| Authors: | NIU Li-fang WEI Qian-rui |
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| Affiliation: | (College of Mathematics,Taiyuan University of Technology,Taiyuan 030024,China) |
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| Abstract: | In this paper,a kind of Kirchhoff type Wave Equation with strong Damping is studied by Galerkin,which arise from the cross-section motion of elastic rod.It proved that the related continuous semigroup s(t)has a global attractor which is connected. |
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| Keywords: | Galerkin methods kirchhoff type wave equation global attractors |
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