2 papers
math.AP2022
"Gradient-free" diffuse approximations of the Willmore functional and Willmore flow
Nils Dabrock, Sascha Knüttel, Matthias Röger
We introduce new diffuse approximations of the Willmore functional and the Willmore flow. They are based on a corresponding approximation of the perimeter that has been studied by…
math.PR2019
Existence of martingale solutions and large-time behavior for a stochastic mean curvature flow of graphs
Nils Dabrock, Martina Hofmanová, Matthias Röger
We are concerned with a stochastic mean curvature flow of graphs over a periodic domain of any space dimension. We establish existence of martingale solutions which are strong in t…