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Christof Melcher
Christof Melcher
Verified email at math1.rwth-aachen.de
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Cited by
Year
Antiskyrmions stabilized at interfaces by anisotropic Dzyaloshinskii-Moriya interactions
M Hoffmann, B Zimmermann, GP Müller, D Schürhoff, NS Kiselev, ...
Nature communications 8 (1), 308, 2017
2602017
Chiral skyrmions in the plane
C Melcher
Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2014
902014
Magnetic hopfions in solids
FN Rybakov, NS Kiselev, AB Borisov, L Döring, C Melcher, S Blügel
APL materials 10 (11), 2022
822022
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
822011
The logarithmic tail of Néel walls
C Melcher
Archive for rational mechanics and analysis 168 (2), 83-113, 2003
682003
Existence of Partially Regular Solutions for Landau–Lifshitz Equations in ℝ3
C Melcher
Communications in Partial Differential Equations 30 (4), 567-587, 2005
652005
Global solvability of the Cauchy problem for the Landau-Lifshitz-Gilbert equation in higher dimensions
C Melcher
Indiana University Mathematics Journal, 1175-1200, 2012
582012
Wave-type dynamics in ferromagnetic thin films and the motion of Néel walls
A Capella, C Melcher, F Otto
Nonlinearity 20 (11), 2519, 2007
502007
Compactness results for static and dynamic chiral skyrmions near the conformal limit
L Döring, C Melcher
Calculus of Variations and Partial Differential Equations 56, 1-30, 2017
382017
Regularity in oscillatory nonlinear elliptic systems
J Kristensen, C Melcher
Mathematische Zeitschrift 260, 813-847, 2008
352008
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
342014
Landau--Lifshitz--Slonczewski equations: global weak and classical solutions
C Melcher, M Ptashnyk
SIAM Journal on Mathematical Analysis 45 (1), 407-429, 2013
342013
Dynamics for Ginzburg-Landau vortices under a mixed flow
M Kurzke, C Melcher, R Moser, D Spirn
Indiana University mathematics journal, 2597-2621, 2009
332009
Logarithmic lower bounds for Néel walls
C Melcher
Calculus of Variations and Partial Differential Equations 21 (2), 209-219, 2004
332004
The profile of chiral skyrmions of small radius
S Komineas, C Melcher, S Venakides
Nonlinearity 33 (7), 3395, 2020
30*2020
Stability of axisymmetric chiral skyrmions
X Li, C Melcher
Journal of Functional Analysis 275 (10), 2817-2844, 2018
302018
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, 843-888, 2011
302011
Thin-film limits for Landau–Lifshitz–Gilbert equations
C Melcher
SIAM Journal on Mathematical Analysis 42 (1), 519-537, 2010
242010
Skyrmion-antiskyrmion racetrack memory in rank-one dmi materials
M Hoffmann, GP Müller, C Melcher, S Blügel
Frontiers in Physics 9, 769873, 2021
192021
Domain walls and vortices in thin ferromagnetic films
M Kurzke, C Melcher, R Moser
Analysis, modeling and simulation of multiscale problems, 249-298, 2006
192006
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