3 papers
math.AP2026
De Giorgi varifold solutions to Mean Curvature Flow: a minimizing movements approach
Tim Laux, Andrea Poiatti
We propose an alternative existence proof of global weak solutions to mean curvature flow and volume preserving mean curvature flow. We prove for the first time for a minimizing mo…
math.AP2026
Weak and strong solutions for a class of quasilinear Allen--Cahn systems
Harald Garcke, Tim Laux, Andrea Poiatti
We consider a quasilinear Allen--Cahn system which arises when the gradient energy term in the Ginzburg--Landau energy also contains zero order terms. Such systems offer significan…
math.AP2024
Generic level sets in mean curvature flow are BV solutions
Anton Ullrich, Tim Laux
We show that a generic levelset of the viscosity solution to mean curvature flow is a distributional solution in the framework of sets of finite perimeter by Luckhaus and Sturzenhe…