38 citations · 100 across the 6 of their papers we have counts for
7 papers
Wigner-Poisson and nonlocal drift-diffusion model equations for semiconductor superlattices
L. L. Bonilla, R. Escobedo
A Wigner-Poisson kinetic equation describing charge transport in doped semiconductor superlattices is proposed. Electrons are supposed to occupy the lowest miniband, exchange of la…
Discrete models of dislocations and their motion in cubic crystals
A. Carpio, L. L. Bonilla
A discrete model describing defects in crystal lattices and having the standard linear anisotropic elasticity as its continuum limit is proposed. The main ingredients entering the…
Periodically generated propagating pulses
L. L. Bonilla, M. Kindelan, J. B. Keller
Certain equations with integral constraints have as solutions time-periodic pulses of a field-like unknown while a current-like unknown oscillates periodically with time. A general…
Generalized drift-diffusion model for miniband superlattices
L. L. Bonilla, R. Escobedo, A. Perales
A drift-diffusion model of miniband transport in strongly coupled superlattices is derived from the single-miniband Boltzmann-Poisson transport equation with a BGK (Bhatnagar-Gross…
Oscillatory wave fronts in chains of coupled nonlinear oscillators
A. Carpio, L. L. Bonilla
Wave front pinning and propagation in damped chains of coupled oscillators are studied. There are two important thresholds for an applied constant stress : for (dyn…
Depinning transitions in discrete reaction-diffusion equations
A. Carpio, L. L. Bonilla
We consider spatially discrete bistable reaction-diffusion equations that admit wave front solutions. Depending on the parameters involved, such wave fronts appear to be pinned or…