TY - JOUR
T1 - Vortex dynamics in the presence of excess energy for the Landau-Lifshitz-Gilbert equation
AU - Kurzke, Matthias
AU - Melcher, Christof
AU - Moser, Roger
AU - Spirn, Daniel
PY - 2014/3
Y1 - 2014/3
N2 - We study the Landau-Lifshitz-Gilbert equation for the dynamics of a magnetic vortex system. We present a PDE-based method for proving vortex dynamics that does not rely on strong well-preparedness of the initial data and allows for instantaneous changes in the strength of the gyrovector force due to bubbling events. The main tools are estimates of the Hodge decomposition of the supercurrent and an analysis of the defect measure of weak convergence of the stress energy tensor. Ginzburg-Landau equations with mixed dynamics in the presence of excess energy are also discussed.
AB - We study the Landau-Lifshitz-Gilbert equation for the dynamics of a magnetic vortex system. We present a PDE-based method for proving vortex dynamics that does not rely on strong well-preparedness of the initial data and allows for instantaneous changes in the strength of the gyrovector force due to bubbling events. The main tools are estimates of the Hodge decomposition of the supercurrent and an analysis of the defect measure of weak convergence of the stress energy tensor. Ginzburg-Landau equations with mixed dynamics in the presence of excess energy are also discussed.
UR - http://www.scopus.com/inward/record.url?eid=2-s2.0-84874674153&partnerID=8YFLogxK
UR - http://dx.doi.org/10.1007/s00526-013-0609-5
U2 - 10.1007/s00526-013-0609-5
DO - 10.1007/s00526-013-0609-5
M3 - Article
SN - 0944-2669
VL - 49
SP - 1019
EP - 1043
JO - Calculus of Variations and Partial Differential Equations
JF - Calculus of Variations and Partial Differential Equations
IS - 3-4
ER -