| Research Interests | Micromagnetics and nonlocal isoperimetric problems Multi-phase mean curvature flow Dimension reduction in thin elastic bodies Microstructures in shape memory alloys |
| Project membership Mathematics Münster | C: Models and Approximations C1: Evolution and asymptotics C4: Geometry-based modelling, approximation, and reduction |
| Current Talks | • Skyrmions and stability of degree 1 harmonic maps from the plane to the two-dimensional sphere. CNA Seminar, Carnegie Mellon University, Pittsburgh, USA • Skyrmions and stability of degree 1 harmonic maps from the plane to the two-dimensional sphere. Young Women in PDEs and Applications, Rheinische Friedrich-Wilhelms-Universtität Bonn, Bonn, Deutschland • Skyrmions and stability of degree 1 harmonic maps from the plane to the two-dimensional sphere. HCM Workshop: Geometric and Applied Analysis, Rheinische Friedrich-Wilhelms-Universtität Bonn, Bonn, Deutschland • Skyrmions and stability of degree 1 harmonic maps from the plane to the two-dimensional sphere. SIAM Conference on Mathematical Aspects of Materials Science, Basque Center for Applied Mathematics, Bilbao, Spain • Rigidity of branching microstructures in shape memory alloys. SIAM Conference on Mathematical Aspects of Materials Science, Basque Center for Applied Mathematics, Bilbao, Spain • Skyrmions and stability of degree ±1 harmonic maps from the plane to the two-dimensional sphere. Arbeitsgemeinschaft Angewandte Analysis, Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig, Deutschland • Skyrmions and stability of degree 1 harmonic maps from the plane to the two-dimensional sphere. Analysis and PDE Seminar, University of California, Berkeley, USA • A nonlocal isoperimetric problem with dipolar repulsion. The International Congress on Industrial and Applied Mathematics, Valencia, Spain • A nonlocal isoperimetric problem with dipolar repulsion. Mathematics and CS Seminar, Institute of Science and Technology Austria, Klosterneuburg, Österreich |
| Current Publications | • Bernand-Mantel A, Muratov CB, Simon TM A quantitative description of skyrmions in ultrathin ferromagnetic films and rigidity of degree ±1 harmonic maps from from R² to S². Arch. Ration. Mech. Anal. Vol. 239, 2021 online • Simon TM Rigidity of branching microstructures in shape memory alloys. Arch. Ration. Mech. Anal. Vol. 241, 2021 online • Simon TM Quantitative aspects of the rigidity of branching microstructures in shape memory alloys via H-measures. SIAM J. Math. Anal. Vol. 53, 2021 online • Hensel S, Fischer J, Laux T, Simon TM The local structure of the energy landscape in multiphase mean curvature flow: Weak-strong uniqueness and stability of evolutions. Vol. ---, 2021 online • Bernand-Mantel A, Muratov CB, Simon TM Unraveling the role of dipolar vs. Dzyaloshinskii-Moriya interaction in stabilizing compact magnetic skyrmions. Phys. Rev. B. Vol. 101, 2020 online • Fischer J, Laux T, Simon TM Convergence rates of the Allen-Cahn equation to mean curvature flow: A short proof based on relative entropies. SIAM J. Math. Anal. Vol. 52, 2020 online • Muratov CB, Simon TM A nonlocal isoperimetric problem with dipolar repulsion. Comm. Math. Phys. Vol. 372, 2019 online • Ayala D, Doering CR, Simon TM Maximum palinstrophy amplification in the two-dimensional Navier-Stokes equations. J. Fluid Mech. Vol. 837, 2018, pp 839-857 online • Laux T, Simon TM Convergence of the Allen-Cahn equation to multi-phase mean curvature flow. Comm. Pure Appl. Math. Vol. 71, 2018 online |
| Current Projects | • EXC 2044 - C1: Evolution and asymptotics online • EXC 2044 - C4: Geometry-based modelling, approximation, and reduction online | theresa.simon@uni-muenster.de |
| Phone | +49 251 83-35090 |
| FAX | +49 251 83-32729 |
| Room | 130.019 |
| Secretary | Sekretariat Claudia Giesbert Frau Claudia Giesbert Telefon +49 251 83-33792 Fax +49 251 83-32729 Zimmer 120.002 |
| Address | Frau JProf. Dr. Theresa Simon Angewandte Mathematik Münster: Institut für Analysis und Numerik Fachbereich Mathematik und Informatik der Universität Münster Orléans-Ring 10 48149 Münster |
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