Derivation of the fractional porous medium equation from a microscopic dynamics

被引：0

作者：

Cardoso, Pedro ^{[1
]}

de Paula, Renato ^{[1
]}

Goncalves, Patricia ^{[1
]}

机构：

[1] Univ Lisbon, Inst Super Tecn, Ctr Math Anal Geometry & Dynam Syst, Ave Rovisco Pais 1, P-1049001 Lisbon, Portugal

来源：

NONLINEARITY | 2023年 / 36卷 / 03期

基金：

欧洲研究理事会;

关键词：

fractional porous medium equation; hydrodynamic limits; exclusion process; SYSTEM; LIMIT;

D O I：

10.1088/1361-6544/acb7c1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we derive the fractional porous medium equation for any power of the fractional Laplacian as the hydrodynamic limit of a microscopic dynamics of random particles with long range interactions, but the jump rate highly depends on the occupancy near the sites where the interactions take place.

引用

页码：1840 / 1872

页数：33

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