一类广义非线性Kirchhoff型方程的惯性流形
Inertial Manifolds for a Class of Nonlinear Generalized Kirchhoff Equation
DOI: 10.12677/AAM.2018.711160, PDF,   
作者: 吕鹏辉, 卢京鑫：云南大学旅游文化学院信息学院，云南 丽江
关键词: 广义Kirchhoff型方程；谱间隔条件；惯性流形；Generalized Kirchhoff Equation； Spectral Gap Condition； Inertial Manifolds
摘要: 该文研究了广义Kirchhoff型方程：utt+αut-βΔut-Φ(‖Δu‖2)Δu+(1+|u|2)p-1u=f(x)的初边值问题的解的长时间行为，证明了方程的惯性流形。
Abstract: The paper studies the longtime behavior of solutions to the initial boundary value problem (IBVP) for a class of Kirchhoff models: utt+αut-βΔut-Φ(‖Δu‖2)Δu+(1+|u|2)p-1u=f(x). The Inertial manifolds are estimated.
文章引用：吕鹏辉, 卢京鑫. 一类广义非线性Kirchhoff型方程的惯性流形[J]. 应用数学进展, 2018, 7(11): 1374-1380. https://doi.org/10.12677/AAM.2018.711160

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