Gradientflow through an energy landscape with a sharp lower bound.
© Sebastian Hensel

Research areas

Calculus of variations and nonlinear partial differential equations, in particular problems inspired by physics and materials science:

  • Micromagnetism and nonlocal isoperimteric problems
  • Multi-phase mean curvature flow
  • Dimension reduction in thin elastic bodies
  • Microstructures in shape memory alloys



    Research Articles (Journals)

    Theses (Doctoral or Postdoctoral)

    • Simon TM. . Materials Science-inspired problems in the Calculus of Variations: Rigidity of shape memory alloys and multi-phase mean curvature flow Dissertation thesis, Universität Leipzig.

    Research Articles in Digital Collections

    • Fischer, J; Hensel, S; Laux, T; Simon, TM. . Local minimizers of the interface length functional based on a concept of local paired calibrations arXiv. doi: 10.48550/arXiv.2212.11840. [submitted / under review]


    • Muratov, C.B.; Simon, T.M. . Correction to: A Nonlocal Isoperimetric Problem with Dipolar Repulsion.