5 papers
Existence and regularity of pullback attractors for nonclassical non-autonomous diffusion equations with delay
Bin Yang, Yuming Qin, Alain Miranville +1
In this paper, we consider the asymptotic behavior of weak solutions for non-autonomous diffusion equations with delay in time-dependent spaces when the nonlinear function is c…
Evaluating The Robustness of Self-Supervised Representations to Background/Foreground Removal
Xavier F. Cadet, Ranya Aloufi, Alain Miranville +2
Despite impressive empirical advances of SSL in solving various tasks, the problem of understanding and characterizing SSL representations learned from input data remains relativel…
Strong global attractors for a three dimensional nonclassical diffusion equation with memory
Yuming Qin, Xiaolei Dong, Alain Miranville +1
In this paper, we study the strong global attractors for a three dimensional nonclassical diffusion equation with memory. First, we prove the existence and uniqueness of strong sol…
Existence and regularity of global attractors for a Kirchhoff wave equation with strong damping and memory
Bin Yang, Yuming Qin, Alain Miranville +1
This paper is concerned with the existence and regularity of global attractor for a Kirchhoff wave equation with strong damping and memory in the weighted time-depende…
Analysis of the Cahn-Hilliard equation with a chemical potential dependent mobility
Maurizio Grasselli, Alain Miranville, Riccarda Rossi +1
The aim of this paper is to study the well-posedness and the existence of global attractors for a family of Cahn-Hilliard equations with a mobility depending on the chemical potent…