activity
20092026
most citedThe Penrose-Fife phase-field model with dynamic boundary conditions

2 citations · 2 across the 9 of their papers we have counts for

collaborators

11 papers

math.DS2026

Global random attractor for 3D stochastic Navier-Stokes equation with nonlinear colored noise

Xingjie Yan, Rong Yang, Alain Miranville

In this paper, we first introduce the definitions of random evolutionary system that associate with random evolutionary semigroup and the corresponding global weak or strong random…

math.AP2023

Existence and dimensions of global attractors for a delayed reaction-diffusion equation on an unbounded domain

Wenjie Hu, Tomás Caraballo, Alain Miranville

The purpose of this paper is to investigate the existence and Hausdorff dimension as well as fractal dimension of global attractors for a delayed reaction-diffusion equation on an…

math.AP2023

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…

cs.CV2023

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…

math.AP2023

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…

math.AP2023

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…