A Family of the Global Attractor for Higher Order Nonlinear Kirchhoff Equation

Autor:	Yingguo Wang, Guoguang Lin
Rok vydání:	2021
Předmět:	Nonlinear system Hausdorff dimension Attractor General Engineering Applied mathematics Uniqueness Boundary value problem Galerkin method Kirchhoff equations Fractal dimension Mathematics
Zdroj:	Open Journal of Applied Sciences. 11:750-765
ISSN:	2165-3925 2165-3917
DOI:	10.4236/ojapps.2021.116055
Popis:	In this paper,we study the wellness and long time dynamic behavior of the solution of the initial boundary value problem for a class of higher order Kirchhoff equations with strong damping terms. We will properly assume the stress term M(s) and nonlinear term g(ut). First, we can prove the existence and uniqueness of the solution of the equation via a prior estimate and Galerkin’s method, then the existence of the family of global attractor is obtained. At last, we can obtain that the Hausdorff dimension and Fractal dimension of the family of global attractor are finite.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7886aaef43d0fbf385731374ec5bdf45 https://doi.org/10.4236/ojapps.2021.116055 Zobrazit plný text záznamu