5 papers
Lower semicontinuity of pullback attractors for a non-autonomous coupled system of strongly damped wave equations
Everaldo M. Bonotto, Alexandre N. Carvalho, Marcelo J. D. Nascimento +1
The aim of this paper is to study the robustness of the family of pullback attractors associated to a non-autonomous coupled system of strongly damped wave equations, given by the…
Long-time behaviour for a non-autonomous Klein-Gordon-Zakharov system
Everaldo de Mello Bonotto, Marcelo José Dias Nascimento, Eric Busatto Santiago
The aim of this paper is to study the long-time dynamics of solutions of the evolution system \[ \begin{cases} u_{tt} - Δu + u + η(-Δ)^{\frac{1}{2}}u_t + a_ε(t)(-Δ)^{\frac{1}{2}}v_…
Pullback and uniform attractors for nonautonomous reaction-diffusion equation in Dumbbell domains
Maykel Belluzi, Tomás Caraballo, Marcelo J. D. Nascimento +1
This work is devoted to the study of the asymptotic behavior of nonautonomous reaction-diffusion equations in Dumbbell domains . Each $Ω_{\v…
Fractional oscillon equations; solvability and connection with classical oscillon equations
Flank D. M. Bezerra, Rodiak N. Figueroa-López, Marcelo J. D. Nascimento
In this paper we are concerned with the asymptotic behavior of nonautonomous fractional approximations of oscillon equation $$ u_{tt}-μ(t)Δu+ω(t)u_t=f(u),\ x\inΩ,\ t\in\mathbb{R},…
Pullback attractors for a class of non-autonomous thermoelastic plate systems
Flank D. M. Bezerra, Vera L. Carbone, Marcelo J. D. Nascimento +1
In this article we study the asymptotic behavior of solutions, in sense of global pullback attractors, of the evolution system $$ \begin{cases} u_{tt} +ηΔ^2 u+a(t)Δθ=f(t,u), & t>τ,…