The local structure of the energy landscape in multiphase mean curvature flow: Weak-strong uniqueness and stability of evolutions

Hensel S, Fischer J, Laux T, Simon TM
In: Journal of the European Mathematical Society, (to appear)
Type of Publication: Research article (journal)

On Rigidity for the Four-Well Problem Arising in the Cubic-to-Trigonal Phase Transformation

Rüland, A; Simon, TM (2023)
In: Journal of Elasticity, 153
Type of Publication: Research article (journal)

Local minimizers of the interface length functional based on a concept of local paired calibrations

Fischer, J; Hensel, S; Laux, T; Simon, TM (2022)
In: arXiv:2212.11840.
Type of Publication: Research article in digital collection

Quantitative aspects of the rigidity of branching microstructures in shape memory alloys via H-measures

Simon TM (2021)
In: SIAM Journal on Mathematical Analysis, 53(4)
Type of Publication: Research article (journal)

A quantitative description of skyrmions in ultrathin ferromagnetic films and rigidity of degree ±1 harmonic maps from from R² to S²

Bernand-Mantel A, Muratov CB, Simon TM (2021)
In: Archive for Rational Mechanics and Analysis, 239
Type of Publication: Research article (journal)

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The local structure of the energy landscape in multiphase mean curvature flow: Weak-strong uniqueness and stability of evolutions Hensel S, Fischer J, Laux T, Simon TM In: Journal of the European Mathematical Society, (to appear) Type of Publication: Research article (journal)
Magnetic skyrmions under confinement Monteil, A; Muratov, CB; Simon, TM; Slastikov, VV (2023) In: Communications in Mathematical Physics, 404 Type of Publication: Research article (journal)
On Rigidity for the Four-Well Problem Arising in the Cubic-to-Trigonal Phase Transformation Rüland, A; Simon, TM (2023) In: Journal of Elasticity, 153 Type of Publication: Research article (journal)
Theory of magnetic field-stabilized compact skyrmions in thin film ferromagnets Bernand-Mantel, A.; Fondet, A; Barnova, S.; Simon, T.M.; Muratov C.B. (2023) In: Physical Review B, 2023 Type of Publication: Research article (journal)
Local minimizers of the interface length functional based on a concept of local paired calibrations Fischer, J; Hensel, S; Laux, T; Simon, TM (2022) In: arXiv:2212.11840. Type of Publication: Research article in digital collection
Correction to: A Nonlocal Isoperimetric Problem with Dipolar Repulsion Muratov, C.B.; Simon, T.M. (2022) In: Comunications in Mathematical Physics, 394, 1361–1362. Type of Publication: Erratum
Quantitative aspects of the rigidity of branching microstructures in shape memory alloys via H-measures Simon TM (2021) In: SIAM Journal on Mathematical Analysis, 53(4) Type of Publication: Research article (journal)
Rigidity of branching microstructures in shape memory alloys Simon TM (2021) In: Archive for Rational Mechanics and Analysis, 241 Type of Publication: Research article (journal)
A quantitative description of skyrmions in ultrathin ferromagnetic films and rigidity of degree ±1 harmonic maps from from R² to S² Bernand-Mantel A, Muratov CB, Simon TM (2021) In: Archive for Rational Mechanics and Analysis, 239 Type of Publication: Research article (journal)
Convergence rates of the Allen-Cahn equation to mean curvature flow: A short proof based on relative entropies Fischer J, Laux T, Simon TM (2020) In: SIAM Journal on Mathematical Analysis, 52(6) Type of Publication: Research article (journal)