Publications of Prof. Melcher

Li, Xinje, Melcher, Christof:
Stability of axisymmetric chiral skyrmions.
J. Funct. Anal. (2018, in press)
Chugreeva, Olga, Melcher, Christof:
Strong solvability of regularized stochastic Landau-Lifshitz-Gilbert equation.
IMA J. Appl. Math. 83 (2018), no.2, 261-282
Hoffmann, M., Zimmermann, B., Müller, G., Schürhoff, D., Kiselev, N., Melcher, C., Blügel, S.:
Antiskyrmions stabilized at interfaces by anisotropic Dzyaloshinskii-Moriya interaction.
Nature commun. 8 (2017) 308
Döring, Lukas, Melcher, Christof:
Compactness results for static and dynamic chiral skyrmions near the conformal limit.
Calc. Var. Partial Differential Equations (2017) 56:60
Melcher, Christof, Rademacher, Jens:
Pattern formation in axially symmetric Landau-Lifshitz-Gilbert-Slonzcewski equations.
J Nonlinear Sci (2017)
Chugreeva, Olga, Melcher, Christof:
Vortices in a stochastic parabolic Ginzburg-Landau equation.
Stoch. Partial Differ. Equ. Anal. Comput. 5 (2017), 113–143.
Benesova, B., Frost, M., Kampschulte, M., Melcher, C., Sedlak, P., Seiner, H.:
Incommensurateness in nanotwinning models of modulated martensites.
Physical Review B, 92 (2015), 180101.
Melcher, Christof:
Chiral skyrmions in the plane.
Proc. R. Soc. Lond. Ser. A 470 (2014), no. 2172, 20140394
Benesova, Barbora, Melcher, Christof, & Süli, Endre:
An Implicit Midpoint Spectral Approximation of Nonlocal Cahn-Hilliard equations.
SIAM Journal on Numerical Analysis 52 (2014) 1466-1496.
Kurzke, Matthias; Melcher, Christof; Moser, Roger; Spirn, Daniel:
Vortex dynamics in the presence of excess energy for the Landau-Lifshitz equation.
Calc. Var. Partial Differential Equations 49 (2014), no. 3-4, 1019–1043.
Kurzke, M., Melcher, C., Moser, R.:
Vortex motion for the Landau-Lifshitz-Gilbert equation with applied magnetic field.
Singular phenomena and scaling in mathematical models, Springer (2014), 113–132.
Melcher, Christof; Ptashnyk, Mariya:
Landau-Lifshitz-Slonczewski equations - global weak and classical solutions.
SIAM J. Math. Anal. 45 (2013), 407–429.
Melcher, Christof:
Global Solvability of the Cauchy Problem for the cz-Gilbert Equation in Higher Dimensions.
Indiana Univ. Math. J. 61 (2012) no.3
Kurzke, Matthias; Melcher, Christof; Moser, Roger; Spirn, Daniel:
Vortex motion for the Landau–Lifshitz–Gilbert equation with spin-transfer torque.
SIAM J. Math. Anal. 43 (2011), 1099-1121.
Condette, Nicolas; Melcher, Christof; Suli, Endre:
Spectral approximation of pattern-forming nonlinear evolution equations with double-well potentials of quadratic growth.
Math. Comp. 80 (2011), no. 273, 205–223.
Kurzke, Matthias; Melcher, Christof; Moser, Roger; Spirn, Daniel:
Ginzburg–Landau Vortices driven by the Landau–Lifshitz–Gilbert equation.
Arch. Ration. Mech. Anal. 199 (2011), no. 3 843-888.
Melcher, Christof:
Thin-film limits for Landau-Lifshitz-Gilbert equations.
SIAM J. Math. Anal. 42 (2010), no. 1, 519–537.
Kurzke, Matthias; Melcher, Christof; Moser, Roger; Spirn, Daniel:
Dynamics for Ginzburg-Landau vortices under a mixed flow.
Indiana Univ. Math. J. 58 (2009), no. 6, 2597–2621.
Kristensen, Jan; Melcher, Christof:
Regularity in nonlinear oscillatory systems.
Math. Z., 260 (2008), No. 4, 813-847.
Capella, Antonio; Melcher, Christof; Otto, Felix:
Wave-type dynamics in ferromagnetic thin films and the motion of Néel walls.
Nonlinearity 20 (2007), no. 11, 2519–2537.
Melcher, Christof:
Existence of partially regular solutions for Landau-Lifshitz equations in R3.
Comm. Partial Differential Equations 30 (2005), no. 4-6, 567–587.
Melcher, Christof:
Domain wall motion in ferromagnetic layers
Phys. D 192 (2004), no. 3-4, 249–264.
Melcher, Christof:
Logarithmic lower bounds for Néel walls.
Calc. Var. Partial Differential Equations 21 (2004), no. 2, 209–219.
Melcher, Christof:
The logarithmic tail of Neel walls.
Arch. Ration. Mech. Anal. 168 (2003), no. 2, 83–113.