Convergence of the Allen‐Cahn Equation to Multiphase Mean Curvature Flow T Laux, TM Simon
Communications on Pure and Applied Mathematics 71 (8), 1597-1647, 2018
64 2018 Unraveling the role of dipolar versus Dzyaloshinskii-Moriya interactions in stabilizing compact magnetic skyrmions A Bernand-Mantel, CB Muratov, TM Simon
Physical Review B 101 (4), 045416, 2020
63 2020 Convergence rates of the Allen--Cahn equation to mean curvature flow: A short proof based on relative entropies J Fischer, T Laux, TM Simon
SIAM Journal on Mathematical Analysis 52 (6), 6222-6233, 2020
39 2020 The local structure of the energy landscape in multiphase mean curvature flow: Weak-strong uniqueness and stability of evolutions J Fischer, S Hensel, T Laux, T Simon
arXiv preprint arXiv:2003.05478, 2020
35 * 2020 A Quantitative Description of Skyrmions in Ultrathin Ferromagnetic Films and Rigidity of Degree±1 Harmonic Maps from R2 to S2 BM Anne, CB Muratov, TM Simon
Archive for Rational Mechanics and Analysis 239 (1), 219-299, 2021
33 2021 A Quantitative Description of Skyrmions in Ultrathin Ferromagnetic Films and Rigidity of Degree A Bernand-Mantel, CB Muratov, TM Simon
Archive for Rational Mechanics and Analysis 239 (1), 219-299, 2021
33 2021 Rigidity of branching microstructures in shape memory alloys TM Simon
Archive for Rational Mechanics and Analysis 241 (3), 1707-1783, 2021
17 2021 Quantitative aspects of the rigidity of branching microstructures in shape memory alloys via h-measures TM Simon
SIAM Journal on Mathematical Analysis 53 (4), 4537-4567, 2021
10 2021 Theory of magnetic field stabilized compact skyrmions in thin-film ferromagnets A Bernand-Mantel, A Fondet, S Barnova, TM Simon, CB Muratov
Physical Review B 108 (16), L161405, 2023
7 2023 Maximum palinstrophy amplification in the two-dimensional Navier–Stokes equations D Ayala, CR Doering, TM Simon
Journal of Fluid Mechanics 837, 839-857, 2018
7 2018 A weak-strong uniqueness principle for the Mullins-Sekerka equation J Fischer, S Hensel, T Laux, TM Simon
arXiv preprint arXiv:2404.02682, 2024
5 2024 Magnetic skyrmions under confinement A Monteil, CB Muratov, TM Simon, VV Slastikov
Communications in Mathematical Physics 404 (3), 1571-1605, 2023
5 2023 Magnetic skyrmions under confinement A Monteil, CB Muratov, TM Simon, VV Slastikov
arXiv preprint arXiv:2208.00058, 2022
5 2022 Local minimizers of the interface length functional based on a concept of local paired calibrations J Fischer, S Hensel, T Laux, TM Simon
arXiv preprint arXiv:2212.11840, 2022
3 2022 On Rigidity for the Four-Well Problem Arising in the Cubic-to-Trigonal Phase Transformation A Rüland, TM Simon
Journal of Elasticity 153 (3), 455-475, 2023
2 2023 Existence of higher degree minimizers in the magnetic skyrmion problem CB Muratov, TM Simon, VV Slastikov
arXiv preprint arXiv:2409.07205, 2024
2024 Correction to: A Nonlocal Isoperimetric Problem with Dipolar Repulsion CB Muratov, TM Simon
Communications in Mathematical Physics 394 (3), 1361-1362, 2022
2022 