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 IJMNTA  Vol.7 No.2 , June 2018
The Inertial Manifold for a Class of Nonlinear Higher-Order Coupled Kirchhoff Equations with Strong Linear Damping
Guoguang Lin, Lingjuan Hu
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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.
Keywords: Higher-Order Kirchhoff System, Hadamard Graph Transformation, Spectral Gap Condition, Inertial Manifold
Cite this paper: Lin, G. and Hu, L. (2018) The Inertial Manifold for a Class of Nonlinear Higher-Order Coupled Kirchhoff Equations with Strong Linear Damping. International Journal of Modern Nonlinear Theory and Application, 7, 35-47. doi: 10.4236/ijmnta.2018.72003.
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