Publications sorted by subject

Nonlinear Spreading PDE: Flux limitation, flux-saturation, Porous media equations, Waiting time, Pattern formation, Traveling waves, Discontinuous Waves, Optimal mass transportation, Entropy solutions, Relativistic heat equation.
Kinetic Theory and Conservations Laws: Hydrodynamical Limits, Gravitation, Relativity, Fragmentation-Coagulation, Vlasov, Boltzmann, BGK. Aplications: Social Systems, Traffic, Multicellular Systems.
Fluid Mechanics: Euler, Navier-Stokes, Singular solutions, Vortex Methods, Thin Films.Fluid Mechanics: Euler, Navier-Stokes, Singular solutions, Vortex Methods, Thin Films.
Developmental Biology. Mathematical Biology: Morphogenetic gradients, Hedgehog, Chemotaxis, Multicellular Interaction Systems, DNA Models, Flux-limited, Flux-saturated, Filopodia-like structures, Citonemes, Pattern formation, Traveling waves.
Quantum Mechanics:Semiconductors, Schrödinger, Wigner, Boltzman, Drift-diffusion.
Popularization of Science.
Memoirs

Nonlinear Spreading PDE: Flux limitation, flux-saturation, Porous media equations, Waiting time, Pattern formation, Traveling waves, Discontinuous Waves, Optimal mass transportation, Entropy solutions, Relativistic heat equation.

J. Calvo, J. Campos, V. Caselles, O. Sánchez, J. Soler, Pattern formation in a flux limited reaction--diffusion equation of porous media type, Inventiones Mathematicae 206 (2016), 57–108. arXiv:1309.6789

J. Campos, J. Soler, Qualitative behavior and traveling waves for flux-saturated porous media equations arising in optimal mass transportation, Nonlinear Analysis TMA (2016), D.O.I.

J. Calvo, J. Campos, V. Caselles, O. Sánchez, J. Soler, Qualitative behavior for flux-saturated mechanisms: traveling waves, waiting time and smoothing effects, Journal of the European Mathematical Society 19 (2017), 441-472. D.O.I. arXiv:1402.1679v2

J. Calvo, J. Campos, V. Caselles, O. Sánchez, J. Soler, Flux-saturated porous media equations and applications, EMS Surveys in Mathematical Sciences 2(1), (2015), 131-218. D.O.I.

J. Campos, P. Guerrero, O. Sánchez, J. Soler, On the analysis of travelling waves to a nonlinear flux limited reaction-diffusion equation, Ann. Inst. H. Poincaré Anal. Non Linéaire, 30(1), (2013), 141-155. D.O.I.

F. Andreu, J. Calvo, J.M. Mazón, J. Soler, On a nonlinear flux--limited equation arising in the transport of morphogens, J. Diff. Eq. 252(10), (2012), 5763-5813. D.O.I.

F. Andreu, V. Caselles, J.M. Mazón, J. Soler, M. Verbeni, Radially Symmetric Solutions of a Tempered Difusion Equation. A Porous Media, Flux-Limited Case, SIAM J. Math Anal. 44, (2012), 1019-1049. D.O.I.

X. Cabre, J. Soler (editors), Caffarelli L., Golse F., Guo Y., Kenig C., Vasseur A. (autors), Nonlinear Partial Differential Equations, Springer Basel (2012). ISBN 978-3-0348-0190-4

J. Calvo, J. Mazón, J. Soler, M. Verbeni, Qualitative properties of the solutions of a nonlinear flux-limited equation arising in the transport of morphogens, Math. Mod. and Meth. in Appl. Sci. 21(supp1), (2011), 893-937 . D.O.I.

F. Frommlet, J.L. López, J. Soler, G. Toscani, Nonlinear rescalings, dispersion relations and conservation laws for some linear kinetic and quantum-kinetic problems, Comm. Appl. Nonlinear Anal. 10, no. 3, (2003), 1-20.

J. Nieto, F. Poupaud, J. Soler, About uniqueness of weak solutions to first order quasi-linear equations, Math. Mod. Methods in Appl. Sci. 12, No.11, (2002), 1599-1605.

J.L. López, J. Soler, G. Toscani, Time rescaling and asymptotic behavior of some fourth order degenerate diffusion equations, Comput. Math. Appl. 43, No. 6-7, (2002), 721-736.

Kinetic Theory and Conservations Laws: Hydrodynamical Limits, Gravitation, Relativity, Fragmentation-Coagulation, Vlasov, Boltzmann, BGK. Aplications: Social Systems, Traffic, Multicellular Systems.

D. Poyato, J. Soler, Euler-type equations and commutators in singular and hyperbolic limits of kinetic Cucker-Smale models, Math. Mod. Meth. Appl. Sci, 6 (2017), 1089–1152. D.O.I. arXiv:1611.00743

D. Poyato, J. Soler, Modeling social crowds, to appear in Physics of Life Reviews

N. Bellomo, F. Colasuonno, D. Knopoff, J. Soler, From a systems theory of sociology to modeling the onset and evolution of criminality, Networks and Heterogeneous Media 10(3), (2015), 421-441. D.O.I.

N. Bellomo, A. Bellouquid, J. Nieto, J. Soler, On the multiscale modeling of vehicular traffic: from kinetic to hydrodynamics, Discrete Contin. Dyn. Syst. Ser. B 19(7), (2014), 1869-1888. D.O.I.

N. Bellomo, A. Bellouquid, J. Nieto, J. Soler, Modeling chemotaxis from L2-closure moments in kinetic theory of active particles, Discrete Contin. Dyn. Syst. Ser. B 18(4), (2013), 847-863. D.O.I.

A. Bellouquid, J. Calvo, J. Nieto, J. Soler, Hyperbolic vs parabolic asymptotics in kinetic theory towards fluid dynamic models, SIAM J. Appl. Math. 73(4), (2013), 1327-1346. D.O.I.

N. Bellomo, A. Bellouquid, J. Nieto, J. Soler, On the asymptotic theory from microscopic to macroscopic growing tissue models: an overview with perspectives, Math. Mod. and Meth. in Appl. Sci. 22(1), (2012), 1130001 (37 pages) D.O.I.

N. Bellomo, J. Soler, On the mathematical theory of the dynamics of swarms viewed as complex systems, Math. Mod. and Meth. in Appl. Sci. 22, (2012), 1140006 (29 pages) D.O.I.

A. Bellouquid, J. Calvo, J. Nieto, J. Soler, On the relativistic BGK-Boltzmann model: asymptotics and hydrodynamics, J. Stat. Phys., 149(2), (2012), 284-316. D.O.I.

N. Bellomo, A. Bellouquid, J. Nieto, J. Soler, Multiscale biological tissue models and flux-limited chemotaxis for multicellular growing systems, Math. Mod. and Meth. in Appl. Sci., no. 20 (7), (2010), 1179-1207. D.O.I.

N. Bellomo, A. Bellouquid, J. Nieto, J. Soler, Complexity and mathematical tools towards the modelling multicellular growing systems in Biology, Mathematical and Computing Modelling 51, (2010), 441-451 D.O.I.

S. Calogero, Calvo J., O. Sánchez, J. Soler, Virial inequalities for steady states in relativistic galactic dynamics, Nonlinearity. 23(8), (2010), 1851-1871 D.O.I.

J. Calvo, E. Florido, O. Sánchez, E. Battaner, J. Soler, and
B. Ruiz-Granados, Cold Dark Matter Halos Based on Collisionless
Boltzmann–Poisson Polytropes. J.M. Diego et al. (eds.), Highlights of Spanish Astrophysics V, Astrophysics and Space pp.263, Science Proceedings, DOI 10.1007/978-3-642-11250-8 31, Springer-Verlag Berlin Heidelberg 2010.

S. Calogero, J. Calvo, O. Sánchez, J. Soler, Dispersive behavior in Galactic Dynamics, Discrete and Continuous Dynamical Systems-Series B, 14, (2010), 1-16 D.O.I

P.E. Jabin, J. Soler, A coupled Boltzmann & Navier-Stokes fragmentation model induced by a fluid-particle-spring interaction, SIAM Multiscale Model. Simul. 8(4), (2010), 1244-1268 D.O.I.

N. Bellomo, A. Bellouquid, J. Soler, On the Derivation of Hyperbolic Macroscopic Tissue Models. From the Mathematical Kinetic Theory for Active Particles, Mathematical and Computer Modelling 49, (2009), 2083-2093. D.O.I.

S. Calogero O. Sánchez J. Soler, Asymptotic behavior and orbital stability of galactic dynamics in relativistic scalar gravity, Archive Rat. Mech. Anal. Vol. 194, (2009), 743-773. D.O.I.

J. Calvo, E. Florido, O. Sánchez, E. Battaner, J. Soler, B. Ruiz-Granados, On an unified theory of cold dark matter halos based on collisionless Boltzmann-Poisson polytropes, Physica A, Statistical Mechanics and its Applications Vol. 388, (2009), 2321-2330. D.O.I.

N. Bellomo, A. Bellouquid, J. Nieto, J. Soler, Multicellular biological growing systems: hyperbolic limits towards macroscopic description, Math. Mod. and Meth. in Appl. Sci. Vol. 17 Suppl., (2007), 1675-1692.

L.L. Bonilla, C.J. Pérez-Vicente, F. Ritort, J. Soler, Exact solutions and dynamics of globally coupled oscillators, Math. Mod. Meth. Appl. Sci., Vol. 16(12), (2006), 1919-1959.

P.E. Jabin, J. Soler, A kinetic description of particle fragmentation, Math. Mod. Meth. Appl. Sci., Vol. 16(6), (2006), 933-948.

O. Sánchez, J. Soler, Orbital stability for polytropic galaxies, Annales de l'IHP- Analyse non linéaire Vol. 23(6), (2006), 781-802.

Th. Goudon, J. Nieto, J. Soler, F. Poupaud, Multidimensional high-field limit of the electrostatic Vlasov-Poisson-Fokker-Planck system, J. Diff. Eq. 213, (2005), 418-442.

J. Dolbeault, O. Sánchez, J. Soler, Asymptotic behaviour for the Vlasov-Poisson system in the stellar dynamic case, Arch. Rat. Mech. Anal. 171, (2004), 301-327.

F. Frommlet, J.L. López, J. Soler, G. Toscani, Nonlinear rescalings, dispersion relations and conservation laws for some linear kinetic and quantum-kinetic problems, Comm. Appl. Nonlinear Anal. 10, no. 3, (2003), 1-20.

J. Nieto, F. Poupaud, J. Soler, About uniqueness of weak solutions to first order quasi-linear equations, Math. Mod. Methods in Appl. Sci. 12, No.11, (2002), 1599-1605.

L.L. Bonilla, J. Soler, High-field limit of the Vlasov-Fokker-Planck system. A comparison of different perturbations methods, Math. Mod. Methods Appl. Sci. Vol. 11, No. 8, (2001), 1457-1468.

J. Nieto, F. Poupaud, J. Soler, High field limit for the Vlasov-Poisson-Fokker-Planck system, Arch. Rational Mech. Anal. 158, no. 1, (2001), 29-59.

F. Poupaud, J. Soler, Parabolic limit and stability of the Vlasov-Poisson-Fokker-Planck system, Math. Mod. Methods in App. Sci., Vol. 10, No 7, (2000), 1027-1045.

L.L. Bonilla, C.J. Perez-Vicente, F. Ritort, J. Soler, Exactly solvable phase oscillators models with synchronization dynamics, Phys. Rev. Lett. 81, (1998), 3643-3646.

J.A. Carrillo, J. Soler, On functional solutions for the three dimensional kinetic equations of Vlasov-type with bounded measures as initial data, Nonlinear Analysis 32, (1998), 235-259.

L.L. Bonilla, J.A. Carrillo, J. Soler, Asymptotic behaviour of the initial boundary value problem for the Vlasov-Poisson-Fokker-Planck system, SIAM J. Appl. Math. 57, (1997), 1343-1372.

J.A. Carrillo, J. Soler, Functional solutions for the Vlasov-Poisson system, Appl. Math. Lett. 10, (1997), 45-50.

J.A. Carrillo, J. Soler, On the Vlasov-Poisson-Fokker-Planck equations with measures in Morrey spaces as initial data, J. Math. Anal. Appl. 207, (1997), 475-495.

J. Soler, Asymptotic behaviour for the Vlasov-Poisson-Fokker-Planck system. Nonlinear Analysis, TMA 30, (1997), 5217-5228.

L.L. Bonilla, J.A. Carrillo, J. Soler, An H-theorem for electrostatic and self-gravitating Vlasov-Poisson-Fokker-Planck systems, Physics Letters A 212, (1996), 55-59.

L.L. Bonilla, J.A. Carrillo, J. Soler, Asymptotic behavior of the Vlasov-Poisson-Fokker-Planck system in bounded domains, Z. Angew. Math. Mech. 76, (1996), 485-486.

J.A. Carrillo, J. Soler, J.L. Vázquez, Asymptotic behaviour and selfsimilarity for the three dimensional Vlasov-Poisson-Fokker-Planck system, J. Functional Analysis 141, (1996), 99-132.

J. Soler, On weak solutions of the Vlasov-Poisson-Fokker-Planck equations, (In Russian, translated by S. N. Kruzhkov), Vestn. Mosk. U. Math. Mech. 6, (1996), 19-20.

J.A. Carrillo, J. Soler, J.L. Vázquez, Asymptotic behaviour for the frictionless Vlasov-Poisson-Fokker-Planck system, C. R. Acad. Sci. Paris, 321 (1995)1195- 1200.

J.A. Carrillo, J. Soler, On the initial value problem for the Vlasov-Poisson-Fokker-Planck system, Math. Meth. in the Appl. Sciences, 18 (1995) 825-839.

J.A. Carrillo, J. Soler, Global existence of functional solutions for the Vlasov-Poisson-Fokker-Planck system in 3-D with bounded measures as initial data. Pitman Research Notes in Mathematical Series vol 326 pp. 41-54, “`Calculus of Variations, Applications and Computations”, Editors: C. Bandle, J. Bemelmans,\M. Chipot, J. Saint Jean Paulin, I. Shafrir, 1994.

Fluid Mechanics: Euler, Navier-Stokes, Singular solutions, Vortex Methods, Thin Films.Fluid Mechanics: Euler, Navier-Stokes, Singular solutions, Vortex Methods, Thin Films.

A. Enciso, D. Poyato, J. Soler, Stability results, almost global generalized Beltrami fields and applications to vortex structures in the Euler equations, Comm. Math. Phys., 360 (2018), 197–269. D.O.I. arXiv:1605.06626

P.E. Jabin, J. Soler, A coupled Boltzmann & Navier-Stokes fragmentation model induced by a fluid-particle-spring interaction, SIAM Multiscale Model. Simul. 8(4), (2010), 1244-1268 D.O.I.

D. Jiroveanu, J. Soler, Numerical Modeling of a bubble breakup behavior in homogeneous and isotropic turbulence, New Trends in Continuum Mechanic, 159-168, Theta 2005.

A. Liñán, V. Kurdyumov, J. Soler, The flow field in the slender combustion chambers of solid propelant rockets, in Simplicity, Rigor and Relevance in Fluid Mechanics. A volume in honor of Amable Liñán, Editors: F.J. Higuera, J. Jiménez, J.M. Vega, CIMNE, Barcelona 2004, 127-141.

J.L. López, J. Soler, G. Toscani, Time rescaling and asymptotic behavior of some fourth order degenerate diffusion equations, Comput. Math. Appl. 43, No. 6-7, (2002), 721-736.

J.A. Carrillo, J. Soler, On the evolution of an angle in a vortex patch, J. Nonlinear Sci. Vol. 10, (2000), 23-47.

J.A. Carrillo, J. Soler, On the evolution of a singular vortex patch in a two-dimensional incompressible fluid flow, Computer Physics Communications, 121-122, (1999), 244-250.

J. Soler, On uniqueness of solutions for the 2-D Euler equations, Z. Angew. Math. Mech. 76, (1996), 105-109.

J. Soler, L∞-Stability for weak solutions of the Navier-Stokes equations in R3 with singular initial data in Morrey spaces, J. Math. Analysis and Appl., 187 (1994), 513-525.

J. Soler, L∞-Stability for weak solutions of the Navier-Stokes equations in R3 with singular initial data, World Scientific, "International Conference on Differential Equations", Editors: C. Perelló, C. Simo, J. Sola-Morales, pp 905-910, 1993.

J. Soler, Convergence of the Contour Dynamics Method, Numumerical Methods in P.D.E. 7 (1991), 261-276.

J. Soler, Vortex Filament Method, IMA Journal Numerical 10 (1990), 75-102.

G.H. Cottet, J. Soler, Three-dimensional Navier-Stokes equations for singular filament initial data, J. Differential Equations 74 (1988), 234-253.

J. Soler, On cubature with a minimal number of lines, J. Comp. Appl. Mathematics 19 (1987), 223-230.

Developmental Biology. Mathematical Biology: Morphogenetic gradients, Hedgehog, Chemotaxis, Multicellular Interaction Systems, DNA Models, Flux-limited, Flux-saturated, Filopodia-like structures, Citonemes, Pattern formation, Traveling waves.

J. Calvo, J. Campos, V. Caselles, O. Sánchez, J. Soler, Qualitative behavior for flux-saturated mechanisms: traveling waves, waiting time and smoothing effects. to appear in Journal of the European Mathematical Society. arXiv:1402.1679v2

M.A. Herrero, J. Soler, (Editors) Special Issue on Cooperation, Competition, Organization: The Dynamics of Interacting Living Populations in Mathematical Models & Methods In Applied Sciences, Volume 25, Number 13, 2015.

M.A. Herrero, J. Soler, Cooperation, competition, organization: The dynamics of interacting living populations, Math. Mod. Meth. Appl. Sci. Online Ready (2015), D.O.I.

Ó. Sánchez, J. Calvo, C. Ibáñez, I. Guerrero, and J. Soler, Modeling Hedgehog Signaling Through Flux-Saturated Mechanism. Natalia A. Riobo (ed.), Hedgehog Signaling Protocols, Methods in Molecular Biology, vol. 1322, 19-33. DOI 10.1007/978-1-4939-2772-2_3, Springer Science+Business Media, New York 2015.

J. Calvo, J. Campos, V. Caselles, O. Sánchez, J. Soler, Flux-saturated porous media equations and applications, EMS Surveys in Mathematical Sciences 2(1), (2015), 131-218. D.O.I.

J.L. López, J. Soler, Mathematics and Biology: A round trip, comment on "On the Interplay between mathematics and biology: hallmarks toward a new systems biology", Phys. Life Rev. 12 (2015), 78-80.D.O.I.

J. Calvo, J. Nieto, J. Soler, M.O. Vásquez, On a dispersive model for the unzipping of double-stranded DNA molecules, Math. Mod. and Meth. in Appl. Sci. 24(3), (2014), 495-511. D.O.I.

N. Bellomo, D. Knoppof, J. Soler, On the difficult interplay between life, "complexity", and mathematical sciences, Math. Mod. and Meth. in Appl. Sci. 23, (2013), 1861-1914. D.O.I.

M. Verbeni, O. Sánchez, E. Mollica, I. Siegl-Cachedenier, A. Carleton, I. Guerrero, A. Ruiz i Altaba, J. Soler, Morphogenetic action through flux-limited spreading, Phys. Life Rev. 10, (2013), 457-475. D.O.I.

M. Verbeni, O. Sánchez, E. Mollica, I. Siegl-Cachedenier, A. Carleton, I. Guerrero, A. Ruiz i Altaba, J. Soler, On flux-limited morphogenesis: Reply to the comments on "Morphogenetic action through flux-limited spreading" Phys. Life Rev. 10, (2013), 495-497. D.O.I.

F. Andreu, J. Calvo, J.M. Mazón, J. Soler, On a nonlinear flux--limited equation arising in the transport of morphogens, J. Diff. Eq. 252(10), (2012), 5763-5813. D.O.I.

N. Bellomo, J. Soler, On the mathematical theory of the dynamics of swarms viewed as complex systems, Math. Mod. and Meth. in Appl. Sci. 22, (2012), 1140006 (29 pages) D.O.I.

N. Bellomo, A. Bellouquid, J. Nieto, J. Soler, On the Derivation of Hyperbolic Macroscopic Tissue Models. From the Mathematical Kinetic Theory for Active Particles, Mathematical and Computer Modelling 49, (2009), 2083-2093. D.O.I.

N. Bellomo, A. Bellouquid, J. Nieto, J. Soler, Multicellular biological growing systems: hyperbolic limits towards macroscopic description, Math. Mod. and Meth. in Appl. Sci. Vol. 17 Suppl., (2007), 1675-1692.

Quantum Mechanics: Semiconductors, Schrödinger, Wigner, Boltzman, Drift-diffusion.

J.L. López, J. Soler, A non-Markovian phase space approach to Schrödinger dynamics: The space-time Wigner transform, SIAM-Multiscale Model. Simul. 14(1) (2016), 430-451.

I. Catto, J. Dolbeault, O. Sánchez, J. Soler, Existence of steady states for the Maxwell-Scrödinger-Poisson system: exploring the applicability of the concentration-compactness principle, Math. Mod. and Meth. in Appl. Sci. 23(10), (2013), 1915-1938. D.O.I.

Th. Goudon, J. Nieto, O. Sánchez, J. Soler, Vanishing viscosity regimes and non--standard shock relations for semiconductor superlattices models, SIAM J. Appl. Math. 71(1), (2011), 180-199. D.O.I.

Ph. Bechouche, F. Poupaud, J. Soler, Quantum Transport and Boltzmann Operators, Journal of Statistical Physics Vol. 122, No. 3, (2006), 417-436.

O. Bokanowski, J.L. López, O. Sánchez, J. Soler, Long time behaviour to the Schrödinger-Poisson-Xα systems, Mathematical Physics of Quantum Mechanics Selected and Refereed Lectures from QMath9 Series: Lecture Notes in Physics Vol 690, (2006) XXI, 485 p.

A. Arnold, J.L. López, P.A. Markowich, J. Soler, An analysis of Wigner-Fokker-Planck models: a Wigner function approach, Rev. Mat. Iberoamericana. 20, (2004), 771-818.

L.L. Bonilla, O. Sánchez, J. Soler, Random domain-relocation times in semiconductor superlattices: a stochastic discrete drift-diffusion approach, Progress in Industrial Mathematics at ECMI 2002. Series: Mathematics in Industry. The European Consortium for Mathematics in Industry, Edited by Buikis, A., Ciegis, R., Fitt, A.D., (2004).

Th. Goudon, O. Sánchez, J. Soler, L.L. Bonilla, Low-field limit for a nonlinear discrete drift-diffusion model arising in semiconductor superlattices theory, SIAM Journal on Applied Mathematics Vol. 64, no. 5, (2004), 1526-1549

O. Sánchez, J. Soler, Long-time dynamics of the Schödinger-Poisson-Slater system, J. Stat. Phys. Vol. 114, no. 1/2, (2004), 179-204.

O. Sánchez, J. Soler, Asymptotic decay estimates for the repulsive Schrödinger-Poisson system, Math. Methods Appl. Sci. 27, (2004), 371-380.

O. Bokanowski, J.L. López, J. Soler, On an exchange interaction model for quantum transport: the Schrödinger-Poisson-Slater system, Math. Models Methods Appl. Sci. 13(10), (2003), 1-16

Ph. Bechouche, J. Nieto, E. Ruiz-Arriola, J. Soler, On a variational approach to the time evolution of the mean field polaron, pp. 358--364. Progress in Industrial Mathematics at ECMI 2000, Mathematics in Industry, Vol. 1, Springer (2002).

L.L. Bonilla, O. Sánchez, J. Soler, Nonlinear stochastic discrete drift-diffusion theory of charge fluctuations and domain relocation times in semiconductor superlattices, Physical Review B, 65, (2002), 195308.

E. Ruiz-Arriola, J. Soler, Quantum Kinetic Equation including phonon scattering, pp. 347-357. Progress in Industrial Mathematics at ECMI 2000, Mathematics in Industry, VOL. 1, Springer (2002).

Ph. Bechouche, J.L. López, J. Soler, Long-time asymptotics for semiconductor crystals, Nonlinear Analysis TMA., Vol. 47, No. 9, (2001), 5861-5872.

E. Ruiz-Arriola, J. Soler, A variational approach to the Schrödinger-Poisson system: asymptotic behaviour, breathers and stability, J. Stat. Phys., Vol. 103, nos. 5/6, (2001), 1069-1105.

Ph. Bechouche, J. Nieto, E. Ruiz-Arriola, J. Soler, On the time evolution of the mean-field polaron. J. Math. Phys., Vol 41, No. 7, (2000), 4293-4312.

J.L. López, J. Soler, Asymptotic behaviour to the 3-D Schrödinger/Hartree-Poisson and Wigner-Poisson systems, Math. Mod. Methods in App. Sci., Vol. 10, No. 6, (2000), 923-943.

C. Ringhofer, J. Soler, Discrete Schrödinger-Poisson systems preserving energy and mass, Applied Mathematics Letters 13, (2000), 27-32.

E. Ruiz-Arriola, J. Soler, Asymptotic behaviour for the 3-D Schrödinger-Poisson system in the attractive case with positive energy, Applied Mathematics Letters, 12, (1999), 1-6.

J.L. López, J. Soler, Scaling limits for the 3-D Schrödinger-Poisson systems, Appl. Math. Letters 10, (1997), 61-65.

Popularization of Science.

J. Soler, Vicent Caselles, matemático, El País, 06-sept-2013

J. Soler, En nuestras líneas de investigación establecemos relación con el mundo de la empresa y la experimentación, diario de edición nacional CincoDías, 23/feb/2011.

J. Soler, La UGR analiza la relación entre las matemáticas y las ciencias de la vida , diario IDEAL-Granada, 06/jun/2011.

S. Calogero, P. Chruściel, J. Nieto, J. Soler, La Relatividad se debate en Granada, Ideal.es, 05/abr/2010.

E. Battaner, J. Soler, Las matemáticas de la materia oscura, Las ecuaciones de la estabilidad de las galaxias o por qué el cielo no cae sobre nuestras cabezas, El País.com, 01/abr/2009.

E. Battaner, J. Soler, Size of a galaxy can be determined by its dark matter, physicists and mathematicians show, Science Daily, june 9, 2009.

J. Soler, Expertos de la UGR predicen el desarrollo de procesos tumorales mediante las matemáticas, Andalucía Investiga, 04/feb/2009.

Memoirs.

Ph. D. Métodos de Vortex con Elementos, 138 pages (1987). ISBN 84-338-0518-5. Advisor: Pierre Arnaud Raviart.