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Lin, G.G. and Yang, L.J. (2021) A Family of the Exponential Attractors and the Inertial Manifolds for a Class of Generalized Kirchhoff Equations. Journal of Applied Mathematics and Physics, 9, 2399-2413.
https://doi.org/10.4236/jamp.2021.910152

has been cited by the following article:

• TITLE: A Family of Inertial Manifolds for a Class of Generalized Kirchhoff-Beam Equations

  AUTHORS: Yuhuai Liao, Guoguang Lin, Jie Liu

  KEYWORDS: Kirchhoff-Beam Equations, Inertial Manifold, Hadamard’s Graph, Spectral Gap Condition

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.10 No.7, July 20, 2022

  ABSTRACT: In this paper, we deal with a class of generalized Kirchhoff-Beam equations. At first, we take advantage of Hadamard’s graph to get the equivalent form of the original equations. Then, the inertial manifolds are proved by using spectral gap condition. We gain main result is that the family of inertial manifolds are established under the proper assumptions of nonlinear terms M(s) and N(s).