3 papers
math.DS2021
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_…
math.AP2020
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…
math.AP2020
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},…