35 citations · 109 across the 5 of their papers we have counts for
5 papers
A moving boundary problem motivated by electric breakdown: I. Spectrum of linear perturbations
Saleh Tanveer, Lothar Schaefer, Fabian Brau +1
An interfacial approximation of the streamer stage in the evolution of sparks and lightning can be written as a Laplacian growth model regularized by a `kinetic undercooling' bound…
Construction and test of a moving boundary model for negative streamer discharges
Fabian Brau, Alejandro Luque, Bernard Meulenbroek +2
Starting from the minimal model for the electrically interacting particle densities in negative streamer discharges, we derive a moving boundary approximation for the ionization fr…
Convective stabilization of a Laplacian moving boundary problem with kinetic undercooling
Ute Ebert, Bernard Meulenbroek, Lothar Schaefer
We study the shape stability of disks moving in an external Laplacian field in two dimensions. The problem is motivated by the motion of ionization fronts in streamer-type electric…
Regularization of moving boundaries in a Laplacian field by a mixed Dirichlet-Neumann boundary condition: exact results
B. Meulenbroek, U. Ebert, L. Schaefer
The dynamics of ionization fronts that generate a conducting body, are in simplest approximation equivalent to viscous fingering without regularization. Going beyond this approxima…
Calculation of the persistence length of a flexible polymer chain with short range self-repulsion
Lothar Schäfer, Knut Elsner
For a self-repelling polymer chain consisting of n segments we calculate the persistence length L(j,n), defined as the projection of the end-to-end vector on the direction of the j…