Asymptotic behavior of solutions to fractional diffusion-convection equations

被引：12

作者：

Ignat, Liviu I. ^{[1
]}

Stan, Diana ^{[2
]}

机构：

[1] Romanian Acad, Inst Math Simion Stoilow, Ctr Francophone Math, Bucharest, Romania

[2] Basque Ctr Appl Math, Alameda Mazarredo 14, Bilbao 48009, Spain

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2018年 / 97卷

关键词：

LARGE TIME BEHAVIOR; NONLOCAL REGULARIZATION;

D O I：

10.1112/jlms.12110

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a convection-diffusion model with linear fractional diffusion in the sub-critical range. We prove that the large time asymptotic behavior of the solution is given by the unique entropy solution of the convective part of the equation. The proof is based on suitable apriori estimates, among which proving an Oleinik type inequality plays a key role.

引用

页码：258 / 281

页数：24

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