Publication: Modelización y Simulación: Ejemplos en Ciencia de Materiales y Mecánica
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2011-12
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Ejemplos de modelos matemáticos en Ciencia de Materiales y Mecánica.
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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,
Edge dislocations in crystal structures considered as traveling waves in discrete models,
Physical Review Letters 90 (13), 135502, 2003
[14] A Carpio, LL Bonilla,
Oscillatory wave fronts in chains of coupled nonlinear oscillators,
Physical Review E 67 (5), 056621, 2003
[15] A Carpio,
Nonlinear stability of oscillatory wave fronts in chains of coupled oscillators,
Physical Review E 69 (4), 046601, 2004
[16] JC Neu, LL Bonilla, A Carpio,
Igniting homogeneous nucleation,
Physical Review E 71 (2), 021601, 2005
[17] A Carpio, LL Bonilla,
Discrete models of dislocations and their motion in cubic crystals,
Physical Review B 71 (13), 134105, 2005
[18]
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
[19] 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
[20] 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
[21] I Plans, A Carpio, LL Bonilla,
Homogeneous nucleation of dislocations as bifurcations in a periodized
discrete elasticity model,
EPL (Europhysics Letters) 81 (3), 36001, 2008
[22] A Carpio, ML Rapún,
Topological derivatives for shape reconstruction,
In: Bonilla, L.L. (eds) Inverse Problems and Imaging. Lecture Notes in
Mathematics, vol 1943. Springer, Berlin, Heidelberg, 2008
[23] A Carpio, LL Bonilla, F de Juan, MAH Vozmediano,
Dislocations in graphene,
New Journal of Physics 10 (5), 053021, 2008
[24] A Carpio, ML Rapún,
Solving inhomogeneous inverse problems by topological derivative methods,
Inverse Problems 24 (4), 045014, 2008
[25] A Carpio, LL Bonilla,
Periodized discrete elasticity models for defects in graphene,
Physical Review B 78 (8), 085406, 2008
[26] A Carpio, ML Rapún,
Domain reconstruction using photothermal techniques,
Journal of Computational Physics 227 (17), 8083-8106, 2008
[27] JC Neu, A Carpio, LL Bonilla,
Theory of surface deposition from boundary layers containing condensable
vapour and particles,
Journal of fluid mechanics 626, 183-210, 2009
[28] E Cebrián, LL Bonilla, A Carpio,
Self-sustained current oscillations in the kinetic theory of semiconductor superlattices,
Journal of Computational Physics 228 (20), 7689-7705, 2009
[29] I Plans, A Carpio, LL Bonilla,
Toy nanoindentation model and incipient plasticity,
Chaos, Solitons & Fractals 42 (3), 1623-1630, 2009
[30] A Carpio, ML Rapún,
An iterative method for parameter identification and shape reconstruction,
Inverse Problems in Science and Engineering 18 (1), 35-50, 2010
[31] A Carpio, BT Johansson, ML Rapún,
Determining planar multiple sound-soft obstacles from scattered acoustic fields,
Journal of Mathematical Imaging and Vision 36 (2), 185-199, 2010
[32] A Carpio, B Tapiador,
Nonreflecting boundary conditions for discrete waves,
Journal of Computational Physics 229 (5), 1879-1896, 2010
[33] A Carpio, B Tapiador,
Analysis of helium bubble growth in radioactive waste,
Nonlinear Analysis: Real World Applications 11 (5), 4174-4184, 2010
[34] LL Bonilla, A Carpio,
Theory of defect dynamics in graphene: defect groupings and their stability,
Continuum Mechanics and Thermodynamics 23 (4), 337-346, 2011