一类具有强线性阻尼的非线性高阶耦合Kirchhoff方程的惯性流形

Guoguang Lin, Lin-Xia Hu
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引用次数: 2

摘要

本文研究了一类具有强阻尼项的高阶Kirchhoff型耦合波动方程系统的长时间行为。利用Hadamard图变换方法,得到了满足谱区间条件的惯性流形的存在性。
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The Inertial Manifold for a Class of Nonlinear Higher-Order Coupled Kirchhoff Equations with Strong Linear Damping
This paper considers the long-time behavior for a system of coupled wave equations of higher-order Kirchhoff type with strong damping terms. Using the Hadamard graph transformation method, we obtain the existence of the inertial manifold while such equations satisfy the spectral interval condition.
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