Asymptotic behavior of an Allen-Cahn type equation with temperature
Armel Judice Ntsokongo, Faculté des Sciences et Techniques, Université Marien Ngouabi, B.P. 69 Brazzaville, Congo · Discrete and Continuous Dynamical Systems - S · 2023
In this paper, we are interested in the study of the asymptotic behavior of an Allen-Cahn type equation with temperature and endowed Dirichlet boundary conditions. Such a model has, in particular, applications in chemistry. In particular, we obtain well-posedness results and the existence of the finite-dimensional global attractor as well as the existence of exponentials attractors by means of classical arguments.