activity
20032020
most citedThe multiscale nature of streamers

226 citations · 322 across the 8 of their papers we have counts for

collaborators

8 papers

math.NA2020

Network-inspired versus Kozeny-Carman based permeability-porosity relations applied to Biot's poroelasticity model

Menel Rahrah, Luis A. Lopez-Peña, Fred Vermolen +1

Water injection in the aquifer induces deformations in the soil. These mechanical deformations give rise to a change in porosity and permeability, which results in non-linearity of…

physics.plasm-ph2007★ 20 cited

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…

nlin.PS2007

Laplacian instability of planar streamer ionization fronts - an example of pulled front analysis

Gianne Derks, Ute Ebert, Bernard Meulenbroek

Streamer ionization fronts are pulled fronts propagating into a linearly unstable state; the spatial decay of the initial condition of a planar front selects dynamically one specif…

nlin.PS2006★ 18 cited

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…

physics.plasm-ph2006★ 226 cited

The multiscale nature of streamers

Ute Ebert, Carolynne Montijn, T. M. P. Briels +4

Streamers are a generic mode of electric breakdown of large gas volumes. They play a role in the initial stages of sparks and lightning, in technical corona reactors and in high al…

nlin.PS2005★ 25 cited

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…