Publication: Advanced Partial Differential Equations: Exercises
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2002-12
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Abstract
Solved exercises for nonlinear partial differential equations.
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[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, 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