3 papers
math.AP2025
Euler's elastica functional as a large mass limit of a two-dimensional non-local isoperimetric problem
Cyrill B. Muratov, Matteo Novaga, Theresa M. Simon
We consider a large mass limit of the non-local isoperimetric problem with a repulsive Yukawa potential in two space dimensions. In this limit, the non-local term concentrates on t…
math.AP2025
Existence of higher degree minimizers in the magnetic skyrmion problem
Cyrill B. Muratov, Theresa M. Simon, Valeriy V. Slastikov
We demonstrate existence of topologically nontrivial energy minimizing maps of a given positive degree from bounded domains in the plane to in a variational model des…
math.AP2024
Magnetic skyrmions under confinement
Antonin Monteil, Cyrill B. Muratov, Theresa M. Simon +1
We present a variational treatment of confined magnetic skyrmions in a minimal micromagnetic model of ultrathin ferromagnetic films with interfacial Dzylashinksii-Moriya interactio…