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Research Group on PDE's in Kinetic Theory, Quantum-Kinetics, Fluid Mechanics and Developmental Biology
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Andréasson, H., Calogero, S., Illner, R., On Blowup for Gain-Term-Only classical and relativistic Boltzmann equations, Math. Meth. Appl. Sci. 27, (2004), 2231--2240. Arnold, A., López, J.L., Markowich, P.A., Soler, J., An analysis of Wigner-Fokker-Planck models: a Wigner function approach, Rev. Mat. Iberoamericana. 20, (2004), 771--818. Bechouche, P., Mauser, N., Selberg, S., Nonrelativistic limit of Klein-Gordon Maxwell to Schrödinger-Poisson, American J. of Math. 126(1), (2004), 31--64. Bonilla, L.L., Sánchez, O., Soler, J., 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). Calogero, S., Global Small Solutions of the Vlasov-Maxwell System in the Absence of Incoming Radiation, Indiana Univ. Math. Journal 53, (2004), 1331--1364. Calogero, S., Outgoing radiation from an isolated collisionless plasma, Annales Henri Poincaré 5, (2004) 189--201. Calogero, S., The Newtonian limit of the relativistic Boltzmann equation, Journal Math. Phys. 45, (2004), 4042--4052. Calogero, S., Lee, H., The non relativistic limit of the Nordström-Vlasov system, Comm. Math. Sci. 2, (2004), 19--34. Calogero, S., Rein, R., Global weak solutions to the Nordström-Vlasov system, J. Differential Equations 204, (2004), 323--338. Cañizo, J.A., López, J.L., Nieto, J., Global L1 theory and regularity for the 3D nonlinear Wigner--Poisson--Fokker--Planck system, J. Differential Equations 198, (2004), 356--373. Dolbeault, J., Sánchez, O., Soler, J., Asymptotic behaviour for the Vlasov-Poisson system in the stellar dynamic case, Arch. Rat. Mech. Anal. 171, (2004), 301--327. Goudon, T., Sánchez, O., Soler, J., Bonilla, L.L., 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
Liñán, A., Kurdyumov, V., Soler, J., 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 López, J.L., Nonlinear Ginzburg-Landau type approach to quantum dissipation, Phys. Rev. E 69, (2004), 026110.Nieto, J., Hydrodynamical limit for a drift-diffusion system modeling large-populations dynamics, J. Math. Anal. Appl. 291, (2004), 716--726. Sánchez, O., Soler, J., Long-time dynamics of the Schödinger-Poisson-Slater system, J. Stat. Phys. Vol. 114, no. 1/2, (2004), 179--204. Sánchez, O., Soler, J., Asymptotic decay estimates for the repulsive Schrödinger-Poisson system, Math. Methods Appl. Sci. 27, (2004), 371--380.
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