Christof Melcher
Christof Melcher
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Antiskyrmions stabilized at interfaces by anisotropic Dzyaloshinskii-Moriya interactions
M Hoffmann, B Zimmermann, GP Müller, D Schürhoff, NS Kiselev, ...
Nature communications 8 (1), 1-9, 2017
Chiral skyrmions in the plane
C Melcher
Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2014
Spectral approximation of pattern-forming nonlinear evolution equations with double-well potentials of quadratic growth
N Condette, C Melcher, E Süli
Mathematics of computation 80 (273), 205-223, 2011
The logarithmic tail of Néel walls
C Melcher
Archive for rational mechanics and analysis 168 (2), 83-113, 2003
Wave-type dynamics in ferromagnetic thin films and the motion of Néel walls
A Capella, C Melcher, F Otto
Nonlinearity 20 (11), 2519, 2007
Existence of Partially Regular Solutions for Landau–Lifshitz Equations in ℝ3
C Melcher
Communications in Partial Differential Equations 30 (4), 567-587, 2005
Global solvability of the Cauchy problem for the Landau-Lifshitz-Gilbert equation in higher dimensions
C Melcher
Indiana University Mathematics Journal, 1175-1200, 2012
Regularity in oscillatory nonlinear elliptic systems
J Kristensen, C Melcher
Mathematische Zeitschrift 260 (4), 813-847, 2008
Dynamics for Ginzburg-Landau vortices under a mixed flow
M Kurzke, C Melcher, R Moser, D Spirn
Indiana University mathematics journal, 2597-2621, 2009
Logarithmic lower bounds for Néel walls
C Melcher
Calculus of Variations and Partial Differential Equations 21 (2), 209-219, 2004
Compactness results for static and dynamic chiral skyrmions near the conformal limit
L Döring, C Melcher
Calculus of Variations and Partial Differential Equations 56 (3), 1-30, 2017
Ginzburg–Landau vortices driven by the Landau–Lifshitz–Gilbert equation
M Kurzke, C Melcher, R Moser, D Spirn
Archive for rational mechanics and analysis 199 (3), 843-888, 2011
An implicit midpoint spectral approximation of nonlocal Cahn--Hilliard equations
B Benesová, C Melcher, E Suli
SIAM Journal on Numerical Analysis 52 (3), 1466-1496, 2014
Domain wall motion in ferromagnetic layers
C Melcher
Physica D: Nonlinear Phenomena 192 (3-4), 249-264, 2004
Landau--Lifshitz--Slonczewski Equations: Global Weak and Classical Solutions
C Melcher, M Ptashnyk
SIAM Journal on Mathematical Analysis 45 (1), 407-429, 2013
Magnetic hopfions in solids
FN Rybakov, NS Kiselev, AB Borisov, L Döring, C Melcher, S Blügel
arXiv preprint arXiv:1904.00250, 2019
Stability of axisymmetric chiral skyrmions
X Li, C Melcher
Journal of Functional Analysis 275 (10), 2817-2844, 2018
Thin-film limits for Landau–Lifshitz–Gilbert equations
C Melcher
SIAM Journal on Mathematical Analysis 42 (1), 519-537, 2010
Domain walls and vortices in thin ferromagnetic films
M Kurzke, C Melcher, R Moser
Analysis, modeling and simulation of multiscale problems, 249-298, 2006
Vortex motion for the Landau–Lifshitz–Gilbert equation with spin-transfer torque
M Kurzke, C Melcher, R Moser
SIAM journal on mathematical analysis 43 (3), 1099-1121, 2011
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