Lee, J. and Nguyen, N. (2021) Gromov-Hausdorff Stability of Inertial Manifolds under Perturbations of the Domain and Equation. Journal of Mathematical Analysis and Applications, 494, Article ID: 124623.
https://doi.org/10.1016/j.jmaa.2020.124623

has been cited by the following article:

• 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.