Work

Granular media equation with double-well external landscape: limiting steady state

Year: 2024

Type: article

Abstract: In this paper, we give a simple condition on the initial state of the granular media equation which ensures that the limit as the time goes to infinity is the unique steady state with positive center of mass. To do so, we use functional inequalities, Laplace method and McKean–Vlasov diffusion (which corresponds to the probabilistic interpretation of the granular media equation).

Source: Comptes Rendus Mathématique

DOI: 10.5802/crmath.595

Author: Julian Tugaut

Institution: Institut Camille Jordan

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Agence Nationale de la Recherche

Award: Metastability for nonlinear processes