TITLE:
A Family of Inertial Manifolds of Coupled Kirchhoff Equations
AUTHORS:
Guoguang Lin, Fumei Chen
KEYWORDS:
Kirchhoff Equation, the Family of Inertial Manifolds, Hadamard Graph Transformation, Spectral Interval Condition
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.10 No.6,
June
30,
2022
ABSTRACT: In this paper, we study the long-time behavior of the solution of the initial boundary value problem of the coupled Kirchhoff equations. Based on the relevant assumptions, the equivalent norm on Ek is obtained by using the Hadamard graph transformation method, and the Lipschitz constant lF of F is further estimated. Finally, a family of inertial manifolds satisfying the spectral interval condition is obtained.