15 citations · 40 across the 12 of their papers we have counts for
14 papers · 1 filter
An obstacle approach to rate independent droplet evolution
William M Feldman, Inwon C Kim, Norbert Požár
We consider a toy model of rate independent droplet motion on a surface with contact angle hysteresis based on the one-phase Bernoulli free boundary problem. We introduce a notion…
On convex comparison for exterior Bernoulli problems with discontinuous anisotropy
William M Feldman, Norbert Pozar
We give a new proof of a convex comparison principle for exterior Bernoulli free boundary problems with discontinuous anisotropy.
Motion by crystalline-like mean curvature: a survey
Yoshikazu Giga, Norbert Požár
We consider a class of anisotropic curvature flows called a crystalline curvature flow. We present a survey on this class of flows with special emphasis on the well-posedness of it…
On volume-preserving crystalline mean curvature flow
Inwon Kim, Dohyun Kwon, Norbert Požár
In this work we consider the global existence of volume-preserving crystalline curvature flow in a non-convex setting. We show that a natural geometric property, associated with re…
Discrete-to-continuum convergence of charged particles in 1D with annihilation
Patrick van Meurs, Mark A. Peletier, Norbert Pozar
We consider a system of charged particles moving on the real line driven by electrostatic interactions. Since we consider charges of both signs, collisions might occur in finite ti…
Viscosity solutions for the crystalline mean curvature flow with a nonuniform driving force term
Yoshikazu Giga, Norbert Pozar
A general purely crystalline mean curvature flow equation with a nonuniform driving force term is considered. The unique existence of a level set flow is established when the drivi…