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Constantin, P., Foias, C., Nicolaenko, B. and Temam, R. (1988) Integral and Inertial Manifolds for Dissipative Partial Differential Equations. Applied Mathematical Sciences, Springer-Verlag, New York, 70.

has been cited by the following article:

• 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.