Holder Continuity of Solutions to the Kinematic Dynamo Equations

被引：2

作者：

Friedlander, Susan ^{[1
]}

Suen, Anthony ^{[1
]}

机构：

[1] Univ So Calif, Dept Math, Los Angeles, CA 90089 USA

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2014年 / 16卷 / 04期

关键词：

Regularity of solutions to parabolic equations; kinematic dynamo equations; DIFFUSION EQUATION; MAGNETIC DYNAMOS; CHAOTIC FLOWS; CONVECTION; DRIVEN;

D O I：

10.1007/s00021-014-0174-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the propagation of regularity of solutions to a three dimensional system of linear parabolic PDE known as the kinematic dynamo equations. The divergence free drift velocity is assumed to be at the critical regularity level with respect to the natural scaling of the equations.

引用

页码：691 / 700

页数：10

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