Explicit Barenblatt profiles for fractional porous medium equations

被引：19
|
作者：
Huang, Yanghong [1 ]
机构：
[1] Univ London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2AZ, England
来源：
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2014年 / 46卷
基金：
英国工程与自然科学研究理事会;
关键词：
ASYMPTOTIC-BEHAVIOR; DIFFUSION;
D O I：
10.1112/blms/bdu045
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Several one-parameter families of explicit self-similar solutions are constructed for the porous medium equations (PMEs) with fractional operators. The corresponding self-similar profiles, also called Barenblatt profiles, have the same forms as those of the classic PMEs. These new exact solutions complement current theoretical analysis of the underlying equations and are expected to provide insights for further quantitative investigations.
引用
收藏
页码：857 / 869
页数：13
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