2 papers
math.AP2026
Attractor Continuity for Semilinear Parabolic Equations on Thin Domains with Degenerating Outward Peaks
Elaine A. Tavares-Lima, Bianca Lorenzi, Marcone C. Pereira
In this work, we analyze the asymptotic behavior of the attractors associated with a semilinear parabolic equation subject to homogeneous Neumann boundary conditions and defined on…
math.AP2024
Continuity of attractors for a highly oscillatory family of perturbations of the square
Bianca P. Lorenzi, Antônio L. Pereira
Consider the family of semilinear parabolic problems \begin{equation*} \left\{ \begin{array}{lll} u_{t}(x,t) = Δu(x,t) - au(x,t) + f(u(x,t)), \,\,\, x \in Ω_ε, t > 0, \\ \frac{\par…