View : 14 Download: 0

Identification of two-phase free boundary arising in plasma physics

Title
Identification of two-phase free boundary arising in plasma physics
Authors
Lee J.-Y.Seo J.K.
Ewha Authors
이준엽
SCOPUS Author ID
이준엽scopus
Issue Date
2000
Journal Title
SIAM Journal on Mathematical Analysis
ISSN
0036-1410JCR Link
Citation
vol. 31, no. 6, pp. 1295 - 1306
Indexed
SCI; SCIE; SCOPUS WOS scopus
Abstract
We try to estimate the shape and the location of two-phase free boundary which has been studied in [A. Friedman and Y. Liu, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 22 (1995), pp. 375-448] to model a stationary magnetohydrodynamics system. A sufficient condition is obtained to check whether a test disk is included in the plasma region D surrounded by a two-phase free boundary. In the test disk technique, only two simply verifiable conditions are used and indispensableness of the conditions is demonstrated using an example. The technique is applicable to select some of test disks placed in the domain Ω, which gives a rough guess on the shape of plasma region. Next we draw some geometrical properties of plasma region D when the domain Ω possesses a kind of convexity. It is proved that if Ω itself contains the mirror image of the right portion {cursive Greek chi ∈ Ω : cursive Greek chi · ξ > t} of the domain with respect to a line {cursive Greek chi : cursive Greek chi · ξ = t} for all t > t0, then so does the plasma region.
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
Files in This Item:
There are no files associated with this item.
Export
RIS (EndNote)
XLS (Excel)
XML


qrcode

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

BROWSE