%0 Journal Article
%T The Inertial Manifold for a Class of Nonlinear Higher-Order Coupled Kirchhoff Equations with Strong Linear Damping
%A Guoguang Lin
%A Lingjuan Hu
%J International Journal of Modern Nonlinear Theory and Application
%P 35-47
%@ 2167-9487
%D 2018
%I Scientific Research Publishing
%R 10.4236/ijmnta.2018.72003
%X 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.
%K Higher-Order Kirchhoff System
%K Hadamard Graph Transformation
%K Spectral Gap Condition
%K Inertial Manifold
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=85116