WG Simon Applied Mathematics Münster

Simulation of a magnetic skyrmion, created using the Mumax3 software.
© Anne Bernand-Mantel

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

Latest Publications

published

Monteil, A; Muratov, CB; Simon, TM; Slastikov, VV. 2023. ‘Magnetic skyrmions under confinement.’ Communications in Mathematical Physics 404: 1571–2023. doi: 10.1007/s00220-023-04864-w.
Rüland, A; Simon, TM. 2023. ‘On Rigidity for the Four-Well Problem Arising in the Cubic-to-Trigonal Phase Transformation.’ Journal of Elasticity 153: 455–475. doi: 10.1007/s10659-023-10011-2.
Bernand-Mantel, A.; Fondet, A; Barnova, S.; Simon, T.M.; Muratov C.B. 2023. ‘Theory of magnetic field-stabilized compact skyrmions in thin film ferromagnets.’ Physical Review B 2023: L161405. doi: 10.1103/PhysRevB.108.L161405.
Muratov, C.B.; Simon, T.M. 2022. Correction to: A Nonlocal Isoperimetric Problem with Dipolar Repulsion. doi: 10.1007/s00220-022-04426-6.
Simon TM. 2021. ‘Quantitative aspects of the rigidity of branching microstructures in shape memory alloys via H-measures.’ SIAM Journal on Mathematical Analysis 53, No. 4. doi: 10.1137/18M1220017.
Simon TM. 2021. ‘Rigidity of branching microstructures in shape memory alloys.’ Archive for Rational Mechanics and Analysis 241: 1707–1783. doi: 10.1007/s00205-021-01679-8.
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: 219–299. doi: 10.1007/s00205-020-01575-7.
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, No. 6. doi: 10.1137/20M1322182.
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, No. 4: 045416. doi: 10.1103/PhysRevB.101.045416.

submitted / under review

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.