Hölder continuity of solutions to the kinematic dynamo equations

Susan FRIEDLANDER; Chun Kit Anthony SUEN

doi:10.1007/s00021-014-0174-5

Hölder continuity of solutions to the kinematic dynamo equations

Susan FRIEDLANDER
, Chun Kit Anthony SUEN

Department of Mathematics and Information Technology (MIT)

Research output: Contribution to journal › Articles › peer-review

3 Citations (Scopus)

Abstract

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. Copyright © 2014 Springer Basel.

Original language	English
Pages (from-to)	691-700
Journal	Journal of Mathematical Fluid Mechanics
Volume	16
Issue number	4
Early online date	Apr 2014
DOIs	https://doi.org/10.1007/s00021-014-0174-5
Publication status	Published - Dec 2014

Keywords

Regularity of solutions to parabolic equations
Kinematic dynamo equations

Access to Document

10.1007/s00021-014-0174-5

Other files and links

published version (EdUHK Users only)

@article{b6d006aa5ab844bda22917bc8ea6ec9c,

title = "H{\"o}lder continuity of solutions to the kinematic dynamo equations",

abstract = "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. Copyright {\textcopyright} 2014 Springer Basel. ",

author = "Susan FRIEDLANDER and SUEN, \{Chun Kit Anthony\}",

year = "2014",

month = dec,

doi = "10.1007/s00021-014-0174-5",

language = "English",

volume = "16",

pages = "691--700",

journal = "Journal of Mathematical Fluid Mechanics",

issn = "1422-6928",

publisher = "Springer International Publishing",

number = "4",

}

TY - JOUR

T1 - Hölder continuity of solutions to the kinematic dynamo equations

AU - FRIEDLANDER, Susan

AU - SUEN, Chun Kit Anthony

PY - 2014/12

Y1 - 2014/12

N2 - 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. Copyright © 2014 Springer Basel.

AB - 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. Copyright © 2014 Springer Basel.

UR - https://link-springer-com.ezproxy.eduhk.hk/article/10.1007/s00021-014-0174-5

U2 - 10.1007/s00021-014-0174-5

DO - 10.1007/s00021-014-0174-5

M3 - Articles

AN - SCOPUS:84919718729

SN - 1422-6928

VL - 16

SP - 691

EP - 700

JO - Journal of Mathematical Fluid Mechanics

JF - Journal of Mathematical Fluid Mechanics

IS - 4

ER -

Hölder continuity of solutions to the kinematic dynamo equations

Abstract

Keywords

Access to Document

Other files and links

Fingerprint