| Full text | |
| Author(s): |
Bezerra, Flank D. M.
[1]
;
Carbone, Vera L.
[2]
;
Nascimento, Marcelo J. D.
[2]
;
Schiabel, Karina
[2]
Total Authors: 4
|
| Affiliation: | [1] Univ Fed Paraiba, Dept Matemat, Joao Pessoa, Paraiba - Brazil
[2] Univ Fed Sao Carlos, Dept Matemat, Sao Carlos, SP - Brazil
Total Affiliations: 2
|
| Document type: | Journal article |
| Source: | PACIFIC JOURNAL OF MATHEMATICS; v. 301, n. 2, p. 395-419, AUG 2019. |
| Web of Science Citations: | 0 |
| Abstract | |
We study the long-time dynamics, in the sense of pullback attractors, of solutions for semilinear nonautonomous thermoelastic plate systems in a bounded smooth domain in R-N , N >= 2. Using the theory of uniform sectorial operators, in the sense of P. Sobolevskii (1961), we will prove existence, uniform boundedness, regularity and upper semicontinuity of pullback attractors for the evolution system [u(tt) + Delta(2)u + a Delta theta = f(u), t > tau, x is an element of Omega, theta(t) - kappa(t) Delta theta - a Delta u(t) = 0, t > tau, x is an element of Omega, subject to boundary conditions u = Delta u = theta =0, t > tau, x is an element of partial derivative Omega, with respect to the functional parameter kappa. (AU) | |
| FAPESP's process: | 14/03686-3 - The dynamics of evolution equations governed by fractional powers of closed operators |
| Grantee: | Flank David Morais Bezerra |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 17/06582-2 - Asymptotic behavior for non-autonomous semilinear problems |
| Grantee: | Marcelo José Dias Nascimento |
| Support Opportunities: | Regular Research Grants |