ON THE EXISTENCE OF 3-DIMENSIONAL SHARP BOUNDARY SOLUTIONS OF THE IDEAL MHD EQUILIBRIUM EQUATIONS IN A TORUS

Authors
BRUNO O LAURENCE P
Citation
O. Bruno et P. Laurence, ON THE EXISTENCE OF 3-DIMENSIONAL SHARP BOUNDARY SOLUTIONS OF THE IDEAL MHD EQUILIBRIUM EQUATIONS IN A TORUS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 317(4), 1993, pp. 337-341
Citations number
15
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
317
Issue
4
Year of publication
1993
Pages
337 - 341
Database
ISI
SICI code
0764-4442(1993)317:4<337:OTEO3S>2.0.ZU;2-K
Abstract
We establish the existence of fully three dimensional weak solutions o f the equilibrium ideal magnetohydrodynamics (MHD) equations, delp = ( del x B) x B, del. B = 0, in certain three dimensional tori T, with B. n = 0 on partial derivative T. Our solutions are of Bernoulli type wi th a tangential discontinuity across a toroidal interface T(i) subset- of T.