10 citations · 16 across the 20 of their papers we have counts for
4 papers · 2 filters
Nash's bound for the Kolmogorov equation
Helge Dietert, Lukas Niebel
We prove Nash's bound for the Kolmogorov equation with rough coefficients. Our proof is inspired by the treatment of the parabolic problem by Nash (1958) and Fabes and Stroock…
Global rigidity of two-dimensional bubbles
Lukas Niebel
We study bubbles, which are stationary hollow vortices with surface tension, in two dimensions. Such objects solve an overdetermined elliptic free boundary problem in an exterior d…
Critical trajectories in kinetic geometry
Helge Dietert, Clément Mouhot, Lukas Niebel +1
We construct critical trajectories in kinetic geometry, i.e. curves in that are: tangential to the vector fields and , co…
Steady bubbles and drops in inviscid fluids
David Meyer, Lukas Niebel, Christian Seis
We construct steady non-spherical bubbles and drops, which are traveling wave solutions to the axisymmetric two-phase Euler equations with surface tension, whose inner phase is a b…