15 citations · 42 across the 26 of their papers we have counts for
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math.AP2020★ 15 cited
Nematic-Isotropic phase transition in Liquid crystals: a variational derivation of effective geometric motions
Tim Laux, Yuning Liu
In this work, we study the nematic-isotropic phase transition based on the dynamics of the Landau--De Gennes theory of liquid crystals. At the critical temperature, the Landau--De…
math.AP2020★ 11 cited
The local structure of the energy landscape in multiphase mean curvature flow: Weak-strong uniqueness and stability of evolutions
Julian Fischer, Sebastian Hensel, Tim Laux +1
We prove that in the absence of topological changes, the notion of BV solutions to planar multiphase mean curvature flow does not allow for a mechanism for (unphysical) non-uniquen…
math.AP2020
Convergence rates of the Allen-Cahn equation to mean curvature flow: A short proof based on relative entropies
Julian Fischer, Tim Laux, Theresa M. Simon
We give a short and self-contained proof for rates of convergence of the Allen-Cahn equation towards mean curvature flow, assuming that a classical (smooth) solution to the latter…