Open AccessLong-time behavior for fourth-order wave equations with strain term and nonlinear weak damping term
Author(s) -
Chao Yang,
Yang Yue
Publication year - 2021
Publication title -
discrete and continuous dynamical systems. series s
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 34
eISSN - 1937-1632
pISSN - 1937-1179
DOI - 10.3934/dcdss.2021110
Subject(s) - term (time) , nonlinear system , focus (optics) , order (exchange) , mathematics , mathematical analysis , physics , quantum mechanics , optics , finance , economics
We mainly focus on the asymptotic behavior analysis for certain fourth-order nonlinear wave equations with strain term, nonlinear weak damping term and source term. We establish two theorems on the asymptotic behavior of the solution depending on some conditions related to the relationship among the forced strain term, the nonlinear weak damping term and source terms.