Finite fractal dimension of pullback attractors for semilinear heat equation with delay in some domain with moving boundary

López-Lázaro H.; Nascimento M.J.D.; Rubio O. · Nonlinear Analysis, Theory, Methods and Applications (2022) · DOI: 10.1016/j.na.2022.113107

Resumen

In this article we study a semilinear mathematical model with delay term for thermal conduction problems defined on a one-dimensional moving boundary domain. The goals of this work are to prove existence, regularity, and finite fractal dimension of the pullback attractors on tempered universes that depends on a non-increasing function η:R→(0,+∞).

Instituciones: Universidad Nacional de Trujillo