Persistence of Besov Regularity for a Generalized Drift-Diffusion Equation with Pressure

被引：0

作者：

Zhao, Weiren ^{[1
]}

机构：

[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

来源：

ACTA APPLICANDAE MATHEMATICAE | 2018年 / 154卷 / 01期

关键词：

Drift-diffusion equation; Besov space; Bony's decomposition; Littlewood-Paley analysis; NAVIER-STOKES EQUATIONS; PARABOLIC EQUATIONS;

D O I：

10.1007/s10440-017-0134-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove that Besov regularity of the initial data can persist for a generalized drift-diffusion equation with pressure under a very weak condition on the drift velocity. In particular, the solution is Holder continuous.

引用

页码：83 / 93

页数：11

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