On global regular solutions to the mhd equations in a smooth toroidal domain
Volume 44 / 2017
Applicationes Mathematicae 44 (2017), 163-183
MSC: 35B07, 35B35, 35B40, 76W05.
DOI: 10.4064/am2284-2-2017
Published online: 8 June 2017
Abstract
We consider the magnetohydrodynamic equations in a smooth toroid located at a positive distance from its axis of symmetry. Since the domain is axially symmetric, we can prove existence of global regular axially symmetric solutions. Next, stability of these solutions is proved. In this way the existence of global regular solutions close to the axially symmetric solutions for all time is shown.
