Open Access System for Information Sharing

Login Library

 

Article
Cited 13 time in webofscience Cited 12 time in scopus
Metadata Downloads

Uniform Estimate of Viscous Free-Boundary Magnetohydrodynamics with Zero Vacuum Magnetic Field SCIE SCOPUS

Title
Uniform Estimate of Viscous Free-Boundary Magnetohydrodynamics with Zero Vacuum Magnetic Field
Authors
LEE, DONGHYUN
Date Issued
2017-07
Publisher
SIAM PUBLICATIONS
Abstract
We consider viscous free-boundary magnetohydrodynamics (MHD) under vacuum in R-3, especially when the vacuum magnetic field is identically zero. It is a central problem in mathematics to perform the vanishing viscosity limit to get a solution of a hyperbolic inviscid system. However, boundary layer behavior happens near the free boundary, so the existence time T-epsilon -> as the kinematic viscosity epsilon -> 0 in standard Sobolev space. Inspired by [N. Masmoudi and F. Rousset, Arch. Ration. Mech. Anal., 223 (2017), pp. 301-417], we use Sobolev conormal space to derive uniform regularity in viscosity E. Finally, we get a solution of inviscid free-boundary MHD when the initial magnetic field is zero on the free boundary and in vacuum.
URI
https://oasis.postech.ac.kr/handle/2014.oak/94532
DOI
10.1137/16M1089794
ISSN
0036-1410
Article Type
Article
Citation
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, vol. 49, no. 4, page. 2710 - 2789, 2017-07
Files in This Item:
There are no files associated with this item.

qr_code

  • mendeley

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

Views & Downloads

Browse