Herzlich willkommen zum Internetauftritt der

ARBEITSGRUPPE FÜR
Angewandte Analysis
PROF. DR. THERESA SIMON

Neueste Publikationen

published

• Monteil, A, Muratov, C.B., Simon, T.M., und Slastikov, V.V. 2023. „Magnetic skyrmions under confinement.“ Communications in Mathematical Physics, Nr. 404: 1571–1605. doi: 10.1007/s00220-023-04864-w.
• Rüland, A., und Simon, T.M. 2023. „On Rigidity for the Four-Well Problem Arising in the Cubic-to-Trigonal Phase Transformation.“ Journal of Elasticity, Nr. 153: 455–475. doi: 10.1007/s10659-023-10011-2.
• Bernand-Mantel, A., Fondet, A, Barnova, S., Simon, T.M., und C.B., Muratov. 2023. „Theory of magnetic field-stabilized compact skyrmions in thin film ferromagnets.“ Physical Review B, Nr. 2023 L161405. doi: 10.1103/PhysRevB.108.L161405.
• Muratov, C.B., und Simon, T.M. 2022. Correction to: A Nonlocal Isoperimetric Problem with Dipolar Repulsion, doi: 10.1007/s00220-022-04426-6.
• Simon, und T.M.. 2021. „Quantitative aspects of the rigidity of branching microstructures in shape memory alloys via H-measures.“ SIAM Journal on Mathematical Analysis, Nr. 53 (4) doi: 10.1137/18M1220017.
• Simon, und T.M.. 2021. „Rigidity of branching microstructures in shape memory alloys.“ Archive for Rational Mechanics and Analysis, Nr. 241: 1707–1783. doi: 10.1007/s00205-021-01679-8.
• Bernand-Mantel, A., Muratov, C.B., und Simon, T.M. 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, Nr. 239: 219–299. doi: 10.1007/s00205-020-01575-7.

submitted / under review

• Fischer, J, Hensel, S, Laux, T, und Simon, T.M. 2024. „A weak-strong uniqueness principle for the Mullins-Sekerka equation.“ arXiv doi: 10.48550/arXiv.2404.02682.
• Muratov, C.B., Simon, T.M., und Slastikov, V.V. 2024. „Existence of higher degree minimizers in the magnetic skyrmion problem.“ arXiv doi: 10.48550/arXiv.2409.07205.
• Fischer, J, Hensel, S, Laux, T, und Simon, T.M. 2022. „Local minimizers of the interface length functional based on a concept of local paired calibrations.“ arXiv doi: 10.48550/arXiv.2212.11840.