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

作　　者：张娟娟 徐玲 

机构地区：[1]西北师范大学数学与统计学院,甘肃 兰州

出　　处：《理论数学》2021年第7期1348-1360,共13页Pure Mathematics

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。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).

关 键 词：Berger方程 Kirchhoff型 非线性阻尼 一致吸引子 

分 类 号：O17[理学—数学]