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math.AP2018
Global dissipative half-harmonic flows into spheres: small data in critical Sobolev spaces
Christof Melcher, Zisis N. Sakellaris
We establish global existence, uniqueness, regularity and long-time asymptotics of strong solutions to the half-harmonic heat flow and dissipative Landau-Lifshitz equation, valid f…
cond-mat.mes-hall2018
Traveling domain walls in chiral ferromagnets
Stavros Komineas, Christof Melcher, Stephanos Venakides
We show that chiral symmetry breaking enables traveling domain wall solution for the conservative Landau-Lifshitz equation of a uniaxial ferromagnet with Dzyaloshinskii-Moriya inte…