63 citations · 86 across the 4 of their papers we have counts for
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math.AP2018★ 15 cited
A nonlocal isoperimetric problem with dipolar repulsion
Cyrill B. Muratov, Thilo Simon
We study a geometric variational problem for sets in the plane in which the perimeter and a regularized dipolar interaction compete under a mass constraint. In contrast to previous…
math.AP2018
Quantitative aspects of the rigidity of branching microstructures in shape memory alloys via H-measures
Thilo M. Simon
We quantify the rigidity of branching microstructures in shape memory alloys undergoing cubic-to-tetragonal transformations in the geometrically linearized theory by making use of…
math.AP2016
Convergence of the Allen-Cahn Equation to multi-phase mean-curvature flow
Tim Laux, Thilo Simon
We present a convergence result for solutions of the vector-valued Allen-Cahn Equation. In the spirit of the work of Luckhaus and Sturzenhecker we establish convergence towards a d…