Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
11021729 | Journal of Mathematical Analysis and Applications | 2019 | 23 Pages |
Abstract
The paper investigates longtime dynamics of the Kirchhoff wave equation with strong damping and critical nonlinearities: uttâ(1+ϵââuâ2)ÎuâÎut+h(ut)+g(u)=f(x), with ϵâ[0,1]. The well-posedness and the existence of global and exponential attractors are established, and the stability of the attractors on the perturbation parameter ϵ is proved for the IBVP of the equation provided that both nonlinearities h(s) and g(s) are of critical growth.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Zhijian Yang, Fang Da,