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具结构阻尼的耦合梁方程组在非线性边界条件下的吸引子

张婷 张建文

张婷, 张建文. 具结构阻尼的耦合梁方程组在非线性边界条件下的吸引子[J]. 应用数学和力学, 2021, 42(1): 102-112. doi: 10.21656/1000-0887.410089
引用本文: 张婷, 张建文. 具结构阻尼的耦合梁方程组在非线性边界条件下的吸引子[J]. 应用数学和力学, 2021, 42(1): 102-112. doi: 10.21656/1000-0887.410089
ZHANG Ting, ZHANG Jianwen. Attractors of Coupled Beam Equations With Structural Damping Under Nonlinear Boundary Conditions[J]. Applied Mathematics and Mechanics, 2021, 42(1): 102-112. doi: 10.21656/1000-0887.410089
Citation: ZHANG Ting, ZHANG Jianwen. Attractors of Coupled Beam Equations With Structural Damping Under Nonlinear Boundary Conditions[J]. Applied Mathematics and Mechanics, 2021, 42(1): 102-112. doi: 10.21656/1000-0887.410089

具结构阻尼的耦合梁方程组在非线性边界条件下的吸引子

doi: 10.21656/1000-0887.410089
基金项目: 国家自然科学基金(11872264)
详细信息
    作者简介:

    张婷(1993—),女,硕士生(E-mail: 1391324265@qq.com);张建文(1962—),男,教授,博士(通讯作者. E-mail: 1489088560@qq.com).

  • 中图分类号: O175.35

Attractors of Coupled Beam Equations With Structural Damping Under Nonlinear Boundary Conditions

Funds: The National Natural Science Foundation of China(11872264)
  • 摘要: 研究了具有转动惯量和结构阻尼的耦合梁方程组在非线性边界条件下的吸引子.首先通过Faedo-Galerkin方法证明了整体解的存在唯一性,其次证明了系统存在有界吸收集和半群的渐近光滑性,最后得到了全局吸引子的存在.
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出版历程
  • 收稿日期:  2020-03-20
  • 修回日期:  2020-05-07
  • 刊出日期:  2021-01-01

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