%0 Journal Article
%A Bortolan, Matheus C.
%A Uzal Couselo, José Manuel
%T Pullback attractors to impulsive evolution processes: Applications to differential equations and tube conditions
%D 2020
%@ 1553-5231
%U https://hdl.handle.net/20.500.14352/100604
%X We define the notions of impulsive evolution processes and their pullback attractors, and exhibit conditions under which a given impulsive evolution process has a pullback attractor. We apply our results to a nonautonomous ordinary differential equation describing an integrate-and-fire model of neuron membrane, as well as to a heat equation with nonautonomous impulse and a nonautonomous 2D Navier-Stokes equation. Finally, we introduce the notion of tube conditions to impulsive evolution processes, and use them as an alternative way to obtain pullback attractors.
%~