Publication: Exercises on Differential Difference Equations and Partial Differential Equations
Loading...
Official URL
Full text at PDC
Publication Date
2006-12
Authors
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Citations
Exportar
Abstract
Solved advanced exercises on nonlinear differential difference equations and partial differential equations.
Description
UCM subjects
Unesco subjects
Keywords
Citation
[1] A Carpio Rodriguez, M Comte, R Lewandoski,
A nonexistence result for a nonlinear equation involving critical Sobolev exponent,
Annales de l'Institut Henri Poincaré - Analyse Non linéaire, 9(3), 243-261, 1992
[2] A. Carpio,
Sharp estimates of the energy for the solutions of some dissipative second order evolution
equations, Potential Analysis 1(3), 265-289, 1992
[3] A. Carpio,
Existence de solutions globales rétrogrades pour des équations des ondes non linéaires
dissipatives,
Comptes rendus de l'Académie des sciences. Série 1, Mathématique, 316(8), 803-808, 1993
[4] A. Carpio,
Comportement asymptotique des solutions des équations du tourbillon en dimensions 2 et 3,
Comptes rendus de l'Académie des sciences. Série 1, Mathématique, 316(12), 1289-1294, 1993
[5] A. Carpio,
Asymptotic behavior for the vorticity equations in dimensions two and three,
Communications in partial differential equations 19 (5-6), 827-872, 1994
[6] A. Carpio,
Unicite et comportement asymptotique pour des equations de convection-diffusion
scalaires,
Comptes rendus de l'Académie des sciences. Série 1, Mathématique 319 (1), 51-56, 1994
[7] A. Carpio,
Comportement asymptotique dans les equations de Navier-Stokes,
Comptes rendus de l'Académie des sciences. Série 1, Mathématique 319 (3), 223-228, 1994
[8] A. Carpio,
Existence of global-solutions to some nonlinear dissipative wave-equations,
Journal de mathématiques pures et appliquées 73 (5), 471-488, 1994
[9] A. Carpio,
Large time behaviour in convection-diffusion equations,
Annali della Scuola Normale Superiore di Pisa-Classe di Scienze 23 (3), 551-574, 1996
[10] A. Carpio,
Large-time behavior in incompressible Navier-Stokes equations,
SIAM Journal on Mathematical Analysis 27 (2), 449-475, 1996
[11] 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
[12] A. Carpio,
Long‐time behaviour for solutions of the Vlasov-Poisson-Fokker-Planck equation,
Mathematical methods in the applied sciences 21 (11), 985-1014, 1998
[13] A Carpio, SJ Chapman,
On the modelling of instabilities in dislocation interactions,
Philosophical Magazine B 78 (2), 155-157, 1998
[14] 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
[15] A Carpio, LL Bonilla, A Wacker, E Schöll,
Wave fronts may move upstream in semiconductor superlattices,
Physical Review E 61 (5), 4866, 2000
[16] 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
[17] 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
[18] A Carpio, LL Bonilla,
Wave front depinning transition in discrete one-dimensional reaction-diffusion systems,
Physical Review Letters 86 (26), 6034, 2001
[19] G Duro, A Carpio,
Asymptotic profiles for convection–diffusion equations with variable diffusion,
Nonlinear Analysis: Theory, Methods & Applications 45 (4), 407-433, 2001
[20] A Carpio, LL Bonilla, G Dell’Acqua,
Motion of wave fronts in semiconductor superlattices,
Physical Review E 64 (3), 036204, 2001
[21] 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
[22] 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
[23] A Carpio,
Wavefronts for discrete two-dimensional nonlinear diffusion equations,
Applied Mathematics Letters 15 (4), 415-421, 2002
[24] A Carpio, LL Bonilla,
Depinning transitions in discrete reaction-diffusion equations,
SIAM Journal on Applied Mathematics 63 (3), 1056-1082, 2003
[25] A Carpio, LL Bonilla,
Pulse propagation in discrete systems of coupled excitable cells,
SIAM Journal on Applied Mathematics 63 (2), 619-635, 2003
[26] A Carpio, LL Bonilla,
Edge dislocations in crystal structures considered as traveling waves in discrete models,
Physical Review Letters 90 (13), 135502, 2003
[27] A Carpio, LL Bonilla,
Oscillatory wave fronts in chains of coupled nonlinear oscillators,
Physical Review E 67 (5), 056621, 2003
[28] A Carpio,
Nonlinear stability of oscillatory wave fronts in chains of coupled oscillators,
Physical Review E 69 (4), 046601, 2004
[29] A Carpio, G Duro,
Instability and collapse in discrete wave equations,
Computational Methods in Applied Mathematics 5 (3), 223-241, 2005
[30] JC Neu, LL Bonilla, A Carpio,
Igniting homogeneous nucleation,
Physical Review E 71 (2), 021601, 2005
[31] A Carpio, LL Bonilla,
Discrete models of dislocations and their motion in cubic crystals,
Physical Review B 71 (13), 134105, 2005
[32] A Carpio,
Asymptotic construction of pulses in the discrete Hodgkin-Huxley model
for myelinated nerves,
Physical Review E 72 (1), 011905, 2005
[33] A Carpio,
Wave trains, self-oscillations and synchronization in discrete media,
Physica D: Nonlinear Phenomena 207 (1-2), 117-136, 2005
[34] 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