Accelerating solutions to diffusion equation

被引：4

作者：

Asenjo, Felipe A. ^{[1
]}

Hojman, Sergio A. ^{[2
,3
,4
]}

机构：

[1] Univ Adolfo Ibanez, Fac Ingn & Ciencias, Santiago 7491169, Chile

[2] Univ Adolfo Ibanez, Fac Artes Liberales, Dept Ciencias, Santiago 7491169, Chile

[3] Univ Chile, Fac Ciencias, Dept Fis, Santiago 7800003, Chile

[4] CREA, Santiago 7500018, Chile

来源：

EUROPEAN PHYSICAL JOURNAL PLUS | 2021年 / 136卷 / 06期

关键词：

NONLINEAR DIFFUSION; SIMILARITY SOLUTIONS;

D O I：

10.1140/epjp/s13360-021-01663-x

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We report accelerating diffusive solutions to the diffusion equation with a constant diffusion tensor. The maximum values of the diffusion density evolve in an accelerating fashion described by Airy functions. We show the diffusive accelerating behavior for one-dimensional systems, as well as for a general three-dimensional case. We also construct a modulated modified form of the diffusion solution that retains the accelerating features.

引用

页数：8

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