Math @ Duke

Publications [#244143] of Stephanos Venakides
Papers Published
 Bonilla, LL; Kindelan, M; Moscoso, M; Venakides, S, Periodic generation and propagation of traveling fronts in dc voltage biased semiconductor superlattices,
SIAM Journal on Applied Mathematics, vol. 57 no. 6
(1997),
pp. 15881614
(last updated on 2018/02/19)
Abstract: The continuum limit of a recently proposed model for charge transport in resonanttunneling semiconductor superlattices (SLs) is analyzed. It is described by a nonlinear hyperbolic integrodifferential equation on a onedimensional spatial support, supplemented by shock and entropy conditions. For appropriate parameter values, a timeperiodic solution is found in numerical simulations of the model. An asymptotic theory shows that the timeperiodic solution is due to recycling and motion of shock waves representing domain walls connecting regions of the SL where the electric field is almost uniform.


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