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).