Carpio, Ana2023-06-202023-06-202008-12[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 Analyis 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 quations 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 [35] 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 [36] 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 [37] 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 [38] A Carpio, LL Bonilla, F de Juan, MAH Vozmediano, Dislocations in graphene, New Journal of Physics 10 (5), 053021, 2008 [39] A Carpio, ML Rapún, Solving inhomogeneous inverse problems by topological derivative methods, Inverse Problems 24 (4), 045014, 2008 [40] A Carpio, LL Bonilla, Periodized discrete elasticity models for defects in graphene, Physical Review B 78 (8), 085406, 2008 [41] A Carpio, ML Rapún, Domain reconstruction using photothermal techniques, Journal of Computational Physics 227 (17), 8083-8106, 2008https://hdl.handle.net/20.500.14352/54803Ejercicios avanzados resueltos de ecuaciones en derivadas parciales no lineales y ecuaciones diferenciales en diferencias no lineales.spalearning objectopen accessMatemáticas (Matemáticas)Análisis matemáticoAnálisis numérico12 Matemáticas1202 Análisis y Análisis Funcional1206 Análisis Numérico