The Inertial Manifold for a Class of Nonlinear Higher-Order Coupled Kirchhoff Equations with Strong Linear Damping

• 作者: Guoguang Lin Lingjuan Hu
• 来源期刊: 现代非线性理论与应用(英文)
• 学科: 数学
• 关键词: HIGHER-ORDER KIRCHHOFF System HADAMARD Graph Transformation Spectral Gap Condition INERTIAL MANIFOLD
• 年，卷（期）: xdfxxllyyyyw,（2）
• 页码范围: 35-47
• 页数: 13页
• 分类号: O1

摘要

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.