18 citations · 35 across the 6 of their papers we have counts for
6 papers
Evolution of vortex filaments and reconnections in the Gross-Pitaevski equation and its approximation by the binormal flow equation
M. Arrayás, M. A. Fontelos, M. d. M. González +1
The evolution of a vortex line following the binormal flow equation (i.e. with a velocity proportional to the local curvature in the direction of the binormal vector) has been post…
Controllability of surface gravity waves and the sloshing problem
Marco Fontelos, Juan López-Ríos
We study the problem of controlling the free surface for a two dimensional solid container in the context of the gravity waves and the sloshing problem. By using conformal maps and…
Self-similar finite-time singularity formation in degenerate parabolic equations arising in thin-film flows
Michael C Dallaston, Dmitri Tseluiko, Zhong Zheng +2
A thin liquid film coating a planar horizontal substrate may be unstable to perturbations in the film thickness due to unfavourable intermolecular interactions between the liquid a…
Frequency-dependent time decay of Schrödinger flows
L. Fanelli, V. Felli, M. Fontelos +1
We show that the presence of negative eigenvalues in the spectrum of the angular component of an electromagnetic Schrödinger hamiltonian generically produces a lack of the clas…
Electric discharge contour dynamics model: the effects of curvature and finite conductivity
M. Arrayás, M. A. Fontelos
In this paper we present the complete derivation of the effective contour model for electrical discharges which appears as the asymptotic limit of the minimal streamer model for th…
Contour dynamics model for electric discharges
M. Arrayás, M. A. Fontelos, C. Jiménez
A contour dynamics model for electrical discharges is obtained and analyzed. The model is deduced as the asymptotic limit of the minimal streamer model for the propagation of elect…