TITLE:
The Inertial Manifold for a Class of Nonlinear Higher-Order Coupled Kirchhoff Equations with Strong Linear Damping
AUTHORS:
Guoguang Lin, Lingjuan Hu
KEYWORDS:
Higher-Order Kirchhoff System, Hadamard Graph Transformation, Spectral Gap Condition, Inertial Manifold
JOURNAL NAME:
International Journal of Modern Nonlinear Theory and Application,
Vol.7 No.2,
June
7,
2018
ABSTRACT: 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.