BIFURCATION OF STATIONARY SOLUTIONS FOR A PROBLEM OF MAGNETOHYDRODYNAMIC, WITH ADIABATIC LAW

Authors
LACHIN F SARAMITO B
Citation
F. Lachin et B. Saramito, BIFURCATION OF STATIONARY SOLUTIONS FOR A PROBLEM OF MAGNETOHYDRODYNAMIC, WITH ADIABATIC LAW, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 326(12), 1998, pp. 1443-1448
Citations number
6
Categorie Soggetti
Mathematics,Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
326
Issue
12
Year of publication
1998
Pages
1443 - 1448
Database
ISI
SICI code
0764-4442(1998)326:12<1443:BOSSFA>2.0.ZU;2-C
Abstract
We study bifurcation of stationary solutions, from a given equilibrium state, Sor a system described by magnetohydrodynamic equations (mhd), with variable density, and with adiabatic law. We use Nash-Moser tech nics to obtain existence of solutions in Holder spaces for a simplifie d problem. Then, for the complete mhd equations, we introduce a functi onal equation containing compact operators. (C) Academie des Sciences/ Elsevier, Paris.