Departamento de Matemática Aplicada
Universidad Complutense de Madrid
 |
|
 |
 |
 |
 |
 |
 |
|
Journal Publications
Nonequilibrium dynamics of a fast oscillator coupled to Glauber spins (with L.L. Bonilla and A. Prados), Journal of Statistical Mechanics (Theory and Experiment), P09019, 2010 [pdf]
Phase transitions in a mechanical system coupled to Glauber spins (with A. Prados, L.L. Bonilla), Journal of Statistical Mechanics (Theory and Experiment), P06016, 2010 [pdf]
Analysis of helium bubble growth in radioactive waste (with B. Tapiador), Journal of Nonlinear Analysis: Real World Applications, 11, 4174-4184, 2010 [pdf]
Determining planar multiple sound-soft obstacles from scattered acoustic fields (with B.T. Johansson, M.L. Rapun), J. Math. Imaging and Vision, 36, 185-199, 2010 [pdf]
Toy nanoindentation model and incipient plasticity (with I. Plans, L.L. Bonilla), Chaos, solitons and fractals 42, 1623-1630, 2009 [pdf]
Solving inverse inhomogeneous problems by topological derivative methods (with M.L. Rapún), Inverse Problems, 24, 045014, 2008 [pdf]
Topological derivatives for shape reconstruction (with M.L. Rapún), Lect. Not. Math. 1943, 85-131, 2008 [pdf]
Asymptotic and numerical studies of the Becker-Doring model for transient homogeneous nucleation, (with JC Neu, LL Bonilla, Y. Farjoun), Markov processes and related fields, 12, 341-365, 2006 [pdf]
Wavetrains, self-oscillations and synchronization in discrete media, Physica D: Nonlinear Phenomena, 207, 117-136, 2005 [pdf]Asymptotic construction of pulses in the discrete Hodgkin-Huxley model for myelinated nerves, Phys. Rev E, 72, 011905/1-10, 2005 [pdf]
Instability
and collapse
in discrete wave equations (with G. Duro), Comp. Meth. Appl. M., 207,
117-136,
2005 [pdf]
Igniting homogeneous nucleation (with JC Neu, L.L. Bonilla), Phys. Rev. E, 71, 021601, 1-14, 2005 [pdf]
Nonlinear
stability of oscillatory wave fronts in chains of coupled oscillators,
Phys. Rev. E, 69 (2004) 046601, 1-13, [pdf]
Oscillatory wave fronts in chains of coupled nonlinear oscillators
(with L.L. Bonilla) Phys. Rev. E, 67 (2003) 056621, 1-11, [pdf]
Edge
dislocations in crystal structures considered as travelling waves of
discrete models (with L.L. Bonilla), Phys. Rev. Lett., 90 (13), 135502,
1-4, 2003; 91(2), 029901-1, 2003, [pdf]
Depinning transitions in spatially discrete reaction diffusion
equations (with Bonilla, L.L.), SIAM J Appl. Math., 63 (3), 1056-1082,
2003, [pdf]
Pulse propagation in discrete systems
of excitable cells (with LL Bonilla), SIAM J Appl Math, 63 (2),
619-635, 2003, [pdf]
Wave front solutions for discrete two dimensional nonlinear diffusion equations, Appl. Math. Lett., 15 (4), 415-421, 2002
Effects of
disorder in wave front depinning transitions in spatially discrete
reaction-diffusion equations (with Bonilla LL, Luzon A), Phys. Rev. E
(RC), 65 (2002), 035207, 1-4, [pdf]
Pile-up
solutions for some mixed hyperbolic systems arising in dislocation
theory (with SJ Chapman and JJL Velazquez), SIAM J Appl Math, 61 (6),
2168-2199, 2001, [pdf]
Numerical study of hyperbolic equations with integral constraints
arising in semiconductor theory
(with PF Hernando, M Kindelan), SIAM J Num. Anal., 39 (1), 168-191,
2001, [pdf]
Motion of wave
fronts
in semiconductor superlattices (with LL Bonilla, G. Dell'Acqua), Phys.
Rev. E, 64 (2001), 036204, 1-9, [pdf]
Asymptotic profiles for convection-diffusion equations with variable diffusion (with G Duro), Nonlinear Anal. TMA, 45 (4), 407-433, 2001, [pdf]
Wave front depinning transitions in discrete one-dimensional reaction-diffusion systems (with LL Bonilla), Phys. Rev. Lett., 86, 6034-6037, 2001, [pdf]
Wave solutions for a discrete reaction-diffusion equation, (with SJ Chapman, S Hastings, JB Mcleod), Eur. J Appl. Math., 11, 399-412, 2000, [pdf]
Wave fronts may
move upstream in semiconductor superlattices (with LL Bonilla, A
Wacker, E Scholl) Phys. Rev. E, 61 (5), 4866-4876, 2000, [pdf]
On the
modelling of
instabilities in dislocation interaction (with SJ Chapman), Phil. Mag.
B,
78 (2), 155-157, 1998
Long time behavior of solutions of the Vlasov-Fokker-Planck equation, Math. Meth. Appl. Sc., 21, 985-1014, 1998, [pdf]
On the
modelling of
instabilities in dislocation interaction (with SJ Chapman), Phil.
Trans. Roy. Soc. A, 355, 2013-2024, 1997
Asymptotic behavior for some convection-diffusion equations, Ann Sc Norm Sup Pisa, Ser IV, Vol XXIII, fasc 3, 551-574, 1996, [pdf]
Large time
behavior for solutions of incompressible Navier-Stokes equations, SIAM
J Math. Anal., 27 (2), 449-475, 1996, [pdf]
Large time behavior in incompressible Navier-Stokes equations, ZAMM, 76 (S2), 495-496, 1996, [pdf]
Asymptotic behavior of solutions to the vorticity equations in dimensions two and three, Comm. P.D.E., 19 (5-6), 827-872, 1994, [pdf]
Existence of global solutions to some nonlinear dissipative equations, J Math. Pur. Appl., 73 (5), 471-488, 1994
Unicité
et
comportement asymptotique pour des équations de convection
diffusion scalaires, CRAS Paris, 319, Ser I, 51-56, 1994
Comportement
asymptotique dans les équations de Navier-Stokes, CRAS Paris,
319, Ser I, 223-228, 1994
Comportement asymptotique des solutions des équations du tourbillon en dimensions 2 et 3, CRAS Paris, 316, Ser I, 1289-1294, 1993
Existence de solutions globales rétrogrades pour des équations des ondes non linéaires dissipatives, CRAS Paris, 316, Ser I, 803-808, 1993
Sharp estimates of the energy decay of solutions of second order dissipative evolution problems, Potential Anal. 1, 165-289, 1992
A non existence
results for an elliptic equation involving critical Sobolev exponents
(with M. Comte, R. Lewandowski), Ann. I. H. P., Anal.
Nonlinéaire, 9 (3), 243-261, 1992
Books
Recent advances in nonlinear
partial differential equation and applications (A volume in honor of P.
Lax and L. Nirenberg on the occasion of their 80th birthday), Bonilla
LL, Carpio A, Vega JM, Venakides S Eds, Proceedings of Symposia in
Applied Mathematics, AMS, 65, 2007, ISBN-10: 0-8218-4211-0
Book chapters
and Proceedings
Theory of surface deposition from boundary layers containing condensable vapor and particles (with Neu JC, Bonilla LL), in Progress in Industrial Mathematics at ECMI 2008, J. Norbury, H. Ockendon, R.E. Wilson, Eds, Mathematics in Industry 15, 451-456, Springer 2010, ISBN: 978-3-642-12109-8
Heterogeneous vapor condensation
in boundary layers (with Neu JC, Bonilla LL), in Numerical analysis and
applied mathematics (ICNAAM 2008, Kos, Greece), TE Simos, G Psihoyios,
Ch Tsitouras, Eds, AIP Conference Proceedings 1048, 917-920, AIP,
Melville, New York, 2008, ISBN: 978-0-7354-0576-9/08
Topological
derivative
based
methods
for
non-destructive testing (with Rapún ML), in
Numerical mathematics and advanced applications (ENUMATH 2007, Graz,
Austria), K. Kunish, G. Of, O. Steinbach Eds, 684-687, Springer-Verlag,
Berlin, 2008, ISBN: 978-3-540-69776-3
Homogeneous nucleation of
dislocations (with Plans I, Bonilla LL), in Continuum models and
discrete
systems, D. Jeulin, S. Forest Eds, Mines Paris, Paristech, 265-270,
2008, ISBN: 978-2-35671-000-0
Depinning
and
motion
of
dislocations (with Bonilla LL), in Continuum models and
discrete systems, D. Jeulin, S. Forest Eds, Mines Paris, Paristech,
259-264, 2008, ISBN: 978-2-35671-000-0
Multiscale Problems in Materials, in Progress in Industrial Mathematics at ECMI 2006, Bonilla LL, Moscoso M, Platero G, Vega JM Eds, Serie Mathematics in Industry Vol 12, 382-386, Springer Berlin, 2008, ISBN 978-3-540-71991-5
Critical thickness for misfit
dislocation formation in InAs/GaAs(110) heteroepitaxy (with I Plans, LL
Bonilla, R Caflisch), in Progress in Industrial Mathematics at ECMI
2006, Bonilla LL, Moscoso M, Platero G, Vega JM Eds, Serie Mathematics
in Industry Vol 12, 382-386, Springer Berlin, 2008, ISBN
978-3-540-71991-5
Dynamics and nucleation of
dislocations in crystals (with LL Bonilla, I. Plans), in Oberwolfach
Reports Vol 4, in Report 58 Material Theories, 3390-3392, EMS
Publishing House, 2007
Defects, singularities and waves
(with LL Bonilla), in Recent Advances in Nonlinear Partial Differential
Equations and Applications, Serie 'Proceedings of Symposia in Applied
Mathematics', Vol 65, 131-150, AMS 2007, ISBN-10: 0-8218-4211-0
Kinetics of nucleation and growth (with JC Neu and LL Bonilla), in Maths Everywhere:
Deterministic
and Stochastic modelling in biomedicine, economics and industry
(dedicated to the 60th birthday of V. Capasso), G. Aletti, M. Burger, A.
Micheletti, D. Morale Eds, 291-307, Springer Heidelberg 2007, ISBN
978-3-540-44445-9
Nonreflecting boundary conditions
for the dynamics of defects in nanocrystals (with B. Tapiador), in
Proceedings of the Congress on Numerical Methods in Engineering CMNE
2007-XXVIII CILAMCE, 2007
Discrete models for defects and
their motion in crystals (with I. Plans and LL Bonilla), in Proceedings of the 3rd
Conference on
Multiscale Modeling of Materials, 23-29, Fraunhofer IRB Verlag,
Freiburg, 2006, ISBN-10 3-8167-7206-4
Control challenges in
semiconductor nanostructure
devices (with
LL
Bonilla),
in
Proceedings
of the 44th IEEE
Conference on Decision and Control, 1811-1815, Sevilla, IEEE, 2005,
ISBN 0-9568-9
Wave propagation in discrete
media, in Elliptic and parabolic problems: A special tribute to the
work
of Haim Brezis, Series Progress in Nonlinear Differential
Equations and their Applications, Vol. 63, 127-134, 2005, Eds. C.
Bandle, H. Berestycki, Birkhauser Verlag, Basel/Switzerland ISBN-10
3-7643-7249-4
Atomic models for defects in GaAs
(with
I. Plans and LL Bonilla), in Proceedings del ECCOMAS (European Congress
on
Computational Methods in Applied Sciences and Engineering), Eds. P.
Neittaanmaki, T. Rossi, S. Korotov, E. Onate, J. Periaux, D. Knorzer,
Jyvaskyla, 2004, ISBN 951-39-1868-8
Atomic models for defects in cubic
metals, in Proceedings del ECCOMAS (European Congress on Computational
Methods in Applied Sciences and Engineering), Eds. P. Neittaanmaki, T.
Rossi, S. Korotov, E. Onate, J. Periaux, D. Knorzer, Jyvaskyla, 2004,
ISBN 951-39-1868-8
Igniting homogeneous nucleation
(with JC Neu and LL Bonilla), in Simplicity, Rigor and Relevance in
Fluid
Mechanics (dedicated
to the 70th birthday of A. Liñán), Eds. F.J. Higuera, J. Jimenez,
J.M.
Vega, CIMNE, Barcelona, 2004, ISBN 84-95999-58-7
Wavefronts in photoexcited
semiconductor superlattices, in Progress in Industrial Mathematics
at ECMI 2000,
A.M. Anile, V. Capasso and A. Greco, eds. Mathematics in Industry 1,
pp.
365-371. Springer, Berlin 2002, ISBN 978-3-540-42582-3
Pile-up solutions for systems of conservation laws modelling the interaction of dislocations in crystals (with SJ Chapman, JJL Velazquez), in Applied and Industrial Mathematics Venice-2, 1998; R. Spigler, ed., pp 219-228, Kluwer Academic Publishers, Dordrecht, Netherlands 2000 ISBN 978-0-7923-0521-7
last modified: 30-Oct-2010