The Inertial Manifold for a Class of Nonlinear Higher-Order Coupled Kirchhoff Equations with Strong Linear Damping
Open Access
- 1 January 2018
- journal article
- research article
- Published by Scientific Research Publishing, Inc. in International Journal of Modern Nonlinear Theory and Application
- Vol. 07 (02), 35-47
- https://doi.org/10.4236/ijmnta.2018.72003
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
This publication has 2 references indexed in Scilit:
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- Infinite-Dimensional Dynamical Systems in Mechanics and PhysicsPublished by Springer Science and Business Media LLC ,1988