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

被引：0
|
作者：
Tugaut, Julian [1 ]
机构：
[1] Univ Jean Monnet, CNRS UMR 5208, Inst Camille Jordan, Maison Univ, 10 Rue Trefilerie, F-42023 St Etienne 2, France
来源：
COMPTES RENDUS MATHEMATIQUE | 2024年 / 362卷
关键词：
CONVERGENCE;
D O I：
10.5802/crmath.595
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we give a simple condition on the initial state of the granular media equation whichensures that the limit as the time goes to infinity is the unique steady state with positive center of mass. To doso, we use functional inequalities, Laplace method and McKean-Vlasov diffusion (which corresponds to theprobabilistic interpretation of the granular media equation).
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页数：5
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