WG Simon Applied Mathematics Münster

Wellcome to the website of the

RESEARCH GROUP
Applied Analysis
PROF. DR. THERESA SIMON

Applied Mathematics: Institute for Analysis and Numerics
Westfälische Wilhelms-University Münster, Deutschland

Office: Orléansring 10, 48149 Münster

Mail address: Einsteinstr. 62, 48149 Münster

Monteil, A; Muratov, CB; Simon,TM; Slastikov, VV. 2022. Magnetic skyrmions under confinement arXiv. 1^st Ed. . doi: 10.48550/arXiv.2208.00058.
Rüland, A; Simon, TM. 2022. On Rigidity for the Four-Well Problem Arising in the Cubic-to-Trigonal Phase Transformation arXiv. 1^st Ed. . doi: 10.48550/arXiv.2210.04304.
Simon TM. 2021. ‘Quantitative aspects of the rigidity of branching microstructures in shape memory alloys via H-measures.’ SIAM Journal on Mathematical Analysis 53.
Simon TM. 2021. ‘Rigidity of branching microstructures in shape memory alloys.’ Archive for Rational Mechanics and Analysis 241.
Bernand-Mantel A, Muratov CB, Simon TM. 2021. ‘A quantitative description of skyrmions in ultrathin ferromagnetic films and rigidity of degree ±1 harmonic maps from from R² to S².’ Archive for Rational Mechanics and Analysis 239.
Fischer J, Laux T, Simon TM. 2020. ‘Convergence rates of the Allen-Cahn equation to mean curvature flow: A short proof based on relative entropies.’ SIAM Journal on Mathematical Analysis 52.
Bernand-Mantel A, Muratov CB, Simon TM. 2020. ‘Unraveling the role of dipolar vs. Dzyaloshinskii-Moriya interaction in stabilizing compact magnetic skyrmions.’ Physical Review B 101.
Muratov CB, Simon TM. 2019. ‘A nonlocal isoperimetric problem with dipolar repulsion.’ Communications in Mathematical Physics 372.

Fischer, J; Hensel, S; Laux, T; Simon, TM. 2022. Local minimizers of the interface length functional based on a concept of local paired calibrations arXiv. doi: 10.48550/arXiv.2212.11840.
Hensel S, Fischer J, Laux T, Simon TM. 2021. The local structure of the energy landscape in multiphase mean curvature flow: Weak-strong uniqueness and stability of evolutions.