[Journal Article]
Erratum to "optimal relaxation of bump-like solutions of the one-dimensional Cahn-Hilliard equation"
In: Communications in partial differential equations, [1]-2, 2023
[DOI: 10.1080/03605302.2023.2202732]

Biesenbach, Sarah
Schubert, Richard
Westdickenberg, Maria Gabrielle (Corresponding author)

[Journal Article]
Chiral magnetic skyrmions across length scales
In: New journal of physics, 25 (2), 023013, 2023
[DOI: 10.1088/1367-2630/acb6e6]

Komineas, Stavros (Corresponding author)
Melcher, Christof
Venakides, Stephanos

[Journal Article]
Magnetic hopfions in solids
In: APL materials, 10 (11), 111113, 2022
[DOI: 10.1063/5.0099942]

Rybakov, Filipp N. (Corresponding author)
Kiselev, Nikolai S.
Borisov, Aleksandr B.
Döring, Lukas
Melcher, Christof
et al.

[Dissertation / PhD Thesis]
Landau-Lifshitz-Gilbert-Vlasov-Maxwell system, 2022
[DOI: 10.18154/RWTH-2022-09704]

Dorešić, Tvrtko

[Journal Article]
Global weak solutions for the Landau-Lifshitz-Gilbert-Vlasov-Maxwell system coupled via emergent electromagnetic fields
In: Journal of evolution equations, 22 (3), 73, 2022
[DOI: 10.1007/s00028-022-00829-z]

Doresic, Tvrtko (Corresponding author)
Melcher, Christof

[Preprint]
A unique continuation theorem for exterior differential forms on Riemannian manifolds with boundary, 2022

Gerner, Wadim (Corresponding author)

[Preprint]
Isoperimetric problem for the first curl eigenvalue, 2022

Gerner, Wadim (Corresponding author)

[Journal Article]
A fractional version of Rivière’s GL(n)-gauge
In: Annali di matematica pura ed applicata, 201 (4), 1817-1853, 2021
[DOI: 10.1007/s10231-021-01180-9]

Da Lio, Francesca (Corresponding author)
Mazowiecka, Katarzyna
Schikorra, Armin

[Journal Article]
Optimal relaxation of bump-like solutions of the one-dimensional Cahn-Hilliard equation
In: Communications in partial differential equations, 47 (3), 489-548, 2021
[DOI: 10.1080/03605302.2021.1987458]

Biesenbach, Sarah (Corresponding author)
Schubert, Richard (Corresponding author)
Westdickenberg, Maria Gabrielle (Corresponding author)

[Journal Article]
Existence and stability of solutions for a fourth order overdetermined problem
In: Journal of mathematical analysis and applications, 505 (2), 125531, 2021
[DOI: 10.1016/j.jmaa.2021.125531]

Gilsbach, Alexandra Philippa
Stollenwerk, Kathrin (Corresponding author)

[Journal Article]
Skyrmion-Antiskyrmion Racetrack Memory in Rank-One DMI Materials
In: Frontiers in physics, 9, 769873, 2021
[DOI: 10.3389/fphy.2021.769873]

Hoffmann, Markus (Corresponding author)
Müller, Gideon P.
Melcher, Christof
Blügel, Stefan

[Preprint]
Global weak solutions for the Landau-Lifshitz-Gilbert-Vlasov-Maxwell system coupled via emergent electromagnetic fields, 2021

Doresic, Tvrtko (Corresponding author)
Melcher, Christof (Corresponding author)

[Dissertation / PhD Thesis]
On optimal convergence rates of nonconvex gradient flows, 2021
[DOI: 10.18154/RWTH-2021-10766]

Biesenbach, Sarah

[Journal Article]
Existence and structure of symmetric Beltrami flows on compact 3-manifolds
In: Differential geometry and its applications, 78, 101801, 2021
[DOI: 10.1016/j.difgeo.2021.101801]

Gerner, Wadim (Corresponding author)

[Preprint]
Optimal relaxation of bump-like solutions of the one-dimensional Cahn-Hilliard equation, 2021

Biesenbach, Sarah (Corresponding author)
Schubert, Richard (Corresponding author)
Westdickenberg, Maria Gabrielle (Corresponding author)

[Journal Article]
Typical field lines of Beltrami flows and boundary field line behaviour of Beltrami flows on simply connected, compact, smooth manifolds with boundary
In: Annals of global analysis and geometry, 60 (1), 65-82, 2021
[DOI: 10.1007/s10455-021-09768-3]

Gerner, Wadim (Corresponding author)

[Journal Article]
Zero Set Structure of Real Analytic Beltrami Fields
In: The journal of geometric analysis, 31 (10), 9928-9950, 2021
[DOI: 10.1007/s12220-021-00633-0]

Gerner, Wadim (Corresponding author)

[Dissertation / PhD Thesis]
A class of gradient flows of differential forms in negative homogeneous Sobolev spaces, 2021
[DOI: 10.18154/RWTH-2021-03560]

Doemeland, Marco

[Journal Article]
Chiral skyrmions of large radius
In: Physica / D, 418, 132842, 2021
[DOI: 10.1016/j.physd.2020.132842]

Komineas, Stavros (Corresponding author)
Melcher, Christof
Venakides, Stephanos

[Journal Article]
On the metastability of the 1-d Allen-Cahn equation
In: Journal of dynamics and differential equations, 33 (4), 1853-1879, 2020
[DOI: 10.1007/s10884-020-09874-z]

Westdickenberg, Maria Gabrielle (Corresponding author)

[Dissertation / PhD Thesis]
Topological solitons in two-dimensional chiral magnets, 2020
[DOI: 10.18154/RWTH-2020-12559]

Li, Xinye

[Dissertation / PhD Thesis]
Minimisation problems in ideal magnetohydrodynamics, 2020
[DOI: 10.18154/RWTH-2020-12414]

Gerner, Wadim

[Journal Article]
Lattice Solutions in a Ginzburg-Landau Model for a Chiral Magnet
In: Journal of nonlinear science, 30 (6), 3389-3420, 2020
[DOI: 10.1007/s00332-020-09654-5]

Li, Xinye (Corresponding author)
Melcher, Christof (Corresponding author)

[Preprint]
The Influence of Einstein's Effective Viscosity on Sedimentation at Very Small Particle Volume Fraction, 2020

Höfer, Richard M.
Schubert, Richard (Corresponding author)

[Journal Article]
A Local Version of Einstein's Formula for the Effective Viscosity of Suspensions
In: SIAM journal on mathematical analysis, 52 (3), 2561-2591, 2020
[DOI: 10.1137/19M1251229]

Niethammer, Barbara (Corresponding author)
Schubert, Richard (Corresponding author)

[Journal Article]
Existence and characterisation of magnetic energy minimisers on oriented, compact Riemannian 3-manifolds with boundary in arbitrary helicity classes
In: Annals of global analysis and geometry, 58 (3), 267-285, 2020
[DOI: 10.1007/s10455-020-09727-4]

Gerner, Wadim (Corresponding author)

[Journal Article]
Symmetry of constrained minimizers of the Cahn-Hilliard energy on the torus
In: Nonlinear analysis / A, 197, 111842, 2020
[DOI: 10.1016/j.na.2020.111842]

Gelantalis, Michael
Wagner, Alfred (Corresponding author)
Westdickenberg, Maria Gabrielle

[Preprint]
Zero set structure of real analytic Beltrami fields, 2020

Gerner, Wadim (Corresponding author)

[Preprint]
Typical field lines of Beltrami flows and boundary field line behaviour of Beltrami flows on simply connected, compact, smooth manifolds with boundary, 2020

Gerner, Wadim (Corresponding author)

[Journal Article]
The profile of chiral skyrmions of small radius
In: Nonlinearity, 33 (7), 3395-3408, 2020
[DOI: 10.1088/1361-6544/ab81eb]

Komineas, Stavros
Melcher, Christof
Venakides, Stephanos

[Journal Article]
Optimal L1-type Relaxation Rates for the Cahn-Hilliard Equation on the Line
In: SIAM journal on mathematical analysis, 51 (6), 4645-4682, 2019
[DOI: 10.1137/18M1192640]

Otto, Felix
Scholtes, Sebastian (Corresponding author)
Westdickenberg, Maria Gabrielle

[Preprint]
Existence and characterisation of magnetic energy minimisers on oriented, compact Riemannian 3-manifolds with boundary in arbitrary helicity classes, 2019

Gerner, Wadim (Corresponding author)

[Dissertation / PhD Thesis]
Surface measures on path spaces of riemannian manifolds, 2019
[DOI: 10.18154/RWTH-2019-11179]

Nobis, Vera

[Journal Article]
Curvature-stabilized skyrmions with angular momentum
In: Letters in mathematical physics, 109 (10), 2291-2304, 2019
[DOI: 10.1007/s11005-019-01188-6]

Melcher, Christof (Corresponding author)
Sakellaris, Zisis N.

[Journal Article]
Traveling domain walls in chiral ferromagnets
In: Nonlinearity : ... a journal of the Institute of Physics and the London Mathematical Society, 32 (7), 2392-2412, 2019
[DOI: 10.1088/1361-6544/ab1430]

Komineas, Stavros (Corresponding author)
Melcher, Christof
Venakides, Stephanos

[Journal Article]
Relaxation to a planar interface in the Mullins-Sekerka problem
In: Interfaces and free boundaries, 21 (1), 21-40, 2019
[DOI: 10.4171/IFB/415]

Chugreeva, Olga (Corresponding author)
Otto, Felix
Westdickenberg, Maria Gabrielle

[Journal Article]
Global dissipative half-harmonic flows into spheres : small data in critical Sobolev spaces
In: Communications in partial differential equations, 44 (5), 397-415, 2019
[DOI: 10.1080/03605302.2018.1554675]

Melcher, Christof
Sakellaris, Zisis N. (Corresponding author)

[Contribution to a book, Journal Article]
Poincaré and Log-Sobolev Inequalities for Mixtures
In: Entropy : an international and interdisciplinary journal of entropy and information, 21 (1), 89, 2019
[DOI: 10.3390/e21010089]

Schlichting, André (Corresponding author)

[Journal Article]
Stability of axisymmetric chiral skyrmions
In: Journal of functional analysis, 275 (10), 2817-2844, 2018
[DOI: 10.1016/j.jfa.2018.01.019]

Li, Xinye
Melcher, Christof (Corresponding author)

[Journal Article]
Metastability of the Cahn-Hilliard equation in one space dimension
In: Journal of differential equations, 265 (4), 1528-1575, 2018
[DOI: 10.1016/j.jde.2018.04.012]

Scholtes, Sebastian Tobias (Corresponding author)
Westdickenberg, Maria Gabrielle

[Journal Article]
Strong solvability of regularized stochastic Landau-Lifshitz-Gilbert equation
In: IMA journal of applied mathematics, 83 (2), 261-282, 2018
[DOI: 10.1093/imamat/hxx045]

Chugreeva, Olga (Corresponding author)
Melcher, Christof

[Dissertation / PhD Thesis]
Gradient flows and a generalized Wasserstein distance in the space of Cartesian currents, 2017
[DOI: 10.18154/RWTH-2018-228848]

Kampschulte, Malte

[Journal Article]
Existence and properties of certain critical points of the Cahn-Hilliard energy
In: Indiana University mathematics journal : IUMJ, 66 (5), 1827-1877, 2017
[DOI: 10.1512/iumj.2017.66.6143]

Gelantalis, Michael (Corresponding author)
Wagner, Alfred
Westdickenberg, Maria Gabrielle

[Journal Article]
Pattern Formation in Axially Symmetric Landau-Lifshitz-Gilbert-Slonczewski Equations
In: Journal of nonlinear science, 27 (5), 1551-1587, 2017
[DOI: 10.1007/s00332-017-9376-3]

Melcher, Christof
Rademacher, J. D. M. (Corresponding author)

[Journal Article]
Antiskyrmions stabilized at interfaces by anisotropic Dzyaloshinskii-Moriya interactions
In: Nature Communications, 8, 308, 2017
[DOI: 10.1038/s41467-017-00313-0]

Hoffmann, Markus (Corresponding author)
Zimmermann, Bernd
Müller, Gideon
Schürhoff, Daniel
Kiselev, Nikolai
et al.

[Journal Article]
Compactness results for static and dynamic chiral skyrmions near the conformal limit
In: Calculus of variations and partial differential equations, 56 (3), 60, 2017
[DOI: 10.1007/s00526-017-1172-2]

Döring, Lukas
Melcher, Christof (Corresponding author)

[Journal Article]
Vortices in a stochastic parabolic Ginzburg-Landau equation
In: Stochastics and partial differential equations, 5 (1), 113-143, 2016
[DOI: 10.1007/s40072-016-0083-0]

Chugreeva, Olga (Corresponding author)
Melcher, Christof

[Dissertation / PhD Thesis]
Stochastics meets applied analysis : stochastic Ginzburg-Landau vortices and stochastic Landau-Lifshitz-Gilbert equation, 2016

Chugreeva, Olga

[Journal Article]
Characterization of gradient young measures generated by homeomorphisms in the plane
In: Control, optimisation and calculus of variations, 22 (1), 267-288, 2016
[DOI: 10.1051/cocv/2015003]

Benešová, Barbora (Corresponding author)
Kružík, Martin (Corresponding author)

[Journal Article]
A microscopically motivated constitutive model for shape memory alloys: Formulation, analysis and computations
In: Mathematics and mechanics of solids, 21 (3), 358-382, 2016
[DOI: 10.1177/1081286514522474]

Frost, Miroslav (Corresponding author)
Benešová, Barbora
Sedlák, Petr