Convergence towards equilibrium for a model with partial diffusion - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... (Preprint) Year :

Convergence towards equilibrium for a model with partial diffusion

(1) , (2)
1
2
Delphine Salort
Didier Smets
  • Function : Author
  • PersonId : 1079084

Abstract

We study the asymptotic behavior of a two dimensional linear PDE with a degenerate diffusion and a drift term. The structure of this equation typically arises in some mathematical mean fields models of neural network, and the investigation of the qualitative properties of this equation is still open, and a challenging question. We prove, via a Doeblin-Harris type method, that the solutions converge exponentially fast to the unique stationary state in a L 1-weighted norm.
Fichier principal
Vignette du fichier
SaSm041022.pdf (279.13 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-03845918 , version 1 (09-11-2022)

Identifiers

  • HAL Id : hal-03845918 , version 1

Cite

Delphine Salort, Didier Smets. Convergence towards equilibrium for a model with partial diffusion. 2022. ⟨hal-03845918⟩
0 View
0 Download

Share

Gmail Facebook Twitter LinkedIn More