| Full text | |
| Author(s): |
Bocanegra-Rodriguez, Lito Edinson
;
Silva, Marcio Antonio Jorge
;
Ma, To Fu
;
Seminario-Huertas, Paulo Nicanor
Total Authors: 4
|
| Document type: | Journal article |
| Source: | Journal of Dynamics and Differential Equations; v. N/A, p. 22-pg., 2021-02-06. |
| Abstract | |
This paper is concerned with longtime dynamics of semilinear Lame systems partial derivative(2)(t)u - mu Delta u-(lambda+mu) del div u + alpha partial derivative(t)u + f(u) = b. defined in bounded domains of R-3 with Dirichlet boundary condition. Firstly, we establish the existence of finite dimensional global attractors subjected to a critical forcing f(u). Writing lambda+mu as a positive parameter epsilon, we discuss some physical aspects of the limit case epsilon -> 0. Then, we show the upper-semicontinuity of attractors with respect to the parameter when epsilon -> 0. To our best knowledge, the analysis of attractors for dynamics of Lame systems has not been studied before. (AU) | |
| FAPESP's process: | 19/11824-0 - Dynamics of semilinear wave equations with localized damping |
| Grantee: | Ma To Fu |
| Support Opportunities: | Regular Research Grants |