带有非线性阻尼的Kirchhoff型Berger方程的一致吸引子
Uniform Attractor for Berger Equation of Kirchhoff-Type with Nonlinear Damping
DOI: 10.12677/PM.2021.117152, PDF,    国家自然科学基金支持
作者: 张娟娟*, 徐 玲：西北师范大学数学与统计学院，甘肃 兰州
关键词: Berger方程；Kirchhoff型；非线性阻尼；一致吸引子；Berger Equation； Kirchhoff-Type； Nonlinear Damping； Uniform Attractor
摘要: 本文考虑带有非线性阻尼的Kirchhoff型Berger方程解的长时间行为，运用收缩函数和渐近先验估计的方法证明了上述问题在空间(H2(Ω)∩H01(Ω))×L2(Ω)中一致吸引子的存在性。
Abstract: In this paper, we consider the long-time behavior of solution for Berger equation of Kirchhoff-type with nonlinear damping, and prove the existence of uniform attractor for the above problem by using the method of contractive function and asymptotic priori estimation in the space (H2(Ω)∩H01(Ω))×L2(Ω).
文章引用：张娟娟, 徐玲. 带有非线性阻尼的Kirchhoff型Berger方程的一致吸引子[J]. 理论数学, 2021, 11(7): 1348-1360. https://doi.org/10.12677/PM.2021.117152

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