Publication: Modelización y Simulación: Ejemplos en Materiales y Biología
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2007-12
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Abstract
Ejemplos de modelización y simulación matemática en física y biología: cristales, impulsos biológicos, semiconductores, nucleación
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[1] A Carpio, SJ Chapman, SD Howison, JR Ockendon,
Dynamics of line singularities,
Philosophical Transactions of the Royal Society of London. Series A: Mathematical,
Physical and Engineering Sciences, 355(1731), 2013-2024, 1997
[2] A Carpio, SJ Chapman,
On the modelling of instabilities in dislocation interactions,
Philosophical Magazine B 78 (2), 155-157, 1998
[3] A Carpio, SJ Chapman, S Hastings, JB McLeod,
Wave solutions for a discrete reaction-diffusion equation,
European Journal of Applied Mathematics 11 (4), 399-412, 2000
[4] A Carpio, LL Bonilla, A Wacker, E Schöll,
Wave fronts may move upstream in semiconductor superlattices,
Physical Review E 61 (5), 4866, 2000
[5] A Carpio, P Hernando, M Kindelan,
Numerical study of hyperbolic equations with integral constraints arising in
semiconductor theory,
SIAM Journal on Numerical Analysis 39 (1), 168-191, 2001
[6] A Carpio, SJ Chapman, JJL Velázquez,
Pile-up solutions for some systems of conservation laws modelling dislocation
interaction in crystals,
SIAM Journal on Applied Mathematics 61 (6), 2168-2199, 2001
[7] A Carpio, LL Bonilla,
Wave front depinning transition in discrete one-dimensional reaction-diffusion systems,
Physical Review Letters 86 (26), 6034, 2001
[8] A Carpio, LL Bonilla, G Dell’Acqua,
Motion of wave fronts in semiconductor superlattices,
Physical Review E 64 (3), 036204, 2001
[9] A Carpio, E Cebrian, FJ Mustieles,
Long time asymptotics for the semiconductor Vlasov-Poisson-Boltzmann equations,
Mathematical Models and Methods in Applied Sciences 11 (09), 1631-1655, 2001
[10] A Carpio, LL Bonilla, A Luzón,
Effects of disorder on the wave front depinning transition in spatially discrete systems,
Physical Review E 65 (3), 035207, 2002
[11] A Carpio,
Wavefronts for discrete two-dimensional nonlinear diffusion equations,
Applied Mathematics Letters 15 (4), 415-421, 2002
[12] A Carpio, LL Bonilla,
Depinning transitions in discrete reaction-diffusion equations,
SIAM Journal on Applied Mathematics 63 (3), 1056-1082, 2003
[13] A Carpio, LL Bonilla,
Pulse propagation in discrete systems of coupled excitable cells,
SIAM Journal on Applied Mathematics 63 (2), 619-635, 2003
[14] A Carpio, LL Bonilla,
Edge dislocations in crystal structures considered as traveling waves in discrete models,
Physical Review Letters 90 (13), 135502, 2003
[15] A Carpio, LL Bonilla,
Oscillatory wave fronts in chains of coupled nonlinear oscillators,
Physical Review E 67 (5), 056621, 2003
[16] A Carpio,
Nonlinear stability of oscillatory wave fronts in chains of coupled oscillators,
Physical Review E 69 (4), 046601, 2004
[17] JC Neu, LL Bonilla, A Carpio,
Igniting homogeneous nucleation,
Physical Review E 71 (2), 021601, 2005
[18] A Carpio, LL Bonilla,
Discrete models of dislocations and their motion in cubic crystals,
Physical Review B 71 (13), 134105, 2005
[19] A Carpio,
Asymptotic construction of pulses in the discrete Hodgkin-Huxley model
for myelinated nerves,
Physical Review E 72 (1), 011905, 2005
[20] A Carpio,
Wave trains, self-oscillations and synchronization in discrete media,
Physica D: Nonlinear Phenomena 207 (1-2), 117-136, 2005
[21]
LL Bonilla, A. Carpio, Y. Farjoun, JC Neu,
Asymptotic and numerical studies of the Becker-Döring model for transient
homogeneous nucleation, Markov processes and related fields, 12, 341-365, 2006
[22] LL Bonilla, A Carpio, JC Neu, WG Wolfer,
Kinetics of helium bubble formation in nuclear materials,
Physica D: Nonlinear Phenomena 222 (1-2), 131-140, 2006
[23] LL Bonilla, A Carpio, I Plans,
Dislocations in cubic crystals described by discrete models,
Physica A: Statistical Mechanics and its Applications 376, 361-377, 2007