Research Group on PDE's in Kinetic Theory, Quantum-Kinetics, Fluid Mechanics and Developmental Biology
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Bokanowski, O., López, J.L., Soler, J., On an exchange interaction model for quantum transport: the Schrödinger-Poisson-Slater system, Math. Models Methods Appl. Sci. 13(10), (2003), 1--16 Cáceres, M.J., Carrillo, J.A., Goudon, T., Equilibration rate for the linear inhomogeneous relaxation-time Boltzmann equation for charged particles, Comm. PDE Vol. 28, no. 5, (2003), 969--989. Calogero, S., Spherically symmetric steady states of galactic dynamics in scalar gravity, Class. Quant. Gravity 20, (2003), 1729--1741. Calogero, S., Rein, G., On classical solutions of the Nordström-Vlasov system, Comm. Partial Diff. Eqns. 28, (2003), 1863--1885. Carrillo, J.A., Gamba, I., Majorana, A., Shu, C-W., A direct solver for 2-D non-stationary Boltzmann-Poisson system for semiconductor devices: a mesfet simulation by WENO-Boltzmann schemes, J. Comput. Electronics 2, (2003), 375--380. Carrillo, J.A., Gamba, I., Majorana, A., Shu, C-W., A WENO-solver for the transients of Boltzmann-Poisson system for semiconductor devices: performance and comparisons with Monte Carlo methods, J. Comput. Phys. Vol. 184, no. 2, (2003), 498--525. Carrillo, J.A., Gamba, I., Muscato, O., Shu, C-W., Comparison of Monte Carlo and deterministic simulations of a silicon diode, IMA, Vol. 135 "Transport in transition regimes" (2003), 75--84. Carrillo, J.A., Jüngel, A., Tang, S., Positive entropic schemes for a nonlinear fourth-order parabolic equation. Discrete Contin. Dyn. Syst. Ser. B 3, no. 1, (2003), 1--20. Carrillo, J.A., McCann, R.J., Villani, C., Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates, Revista Matematica Iberoamericana 19 (2003), 971--1018. Carrillo, J.A., Vázquez, J.L., Fine asymptotics for fast diffusion equations, Comm. PDE Vol. 28, no. 5-6, (2003), 1023--1056. Degond, P., Lemou, M., López, J.L., A kinetic description of anisotropic fluids with multivalued internal energy, European J. Mech. B/Fluids 22(5) (2003), 487--509. Degond, P., Lemou, M., López, J.L., Fluids with multivalued internal energy: the anisotropic case, IMA, Vol. 135 "Transport in transition regimes" (2003), 121--136. Frommlet, F., López, J.L., Soler, J., Toscani, G., 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. Mantas-Ruiz, J.M., Carrillo, Ortega-Lopera, J., J.A.,, Integrating multiple implementations and estructure exploitation in the component-bassed design of parallel ODE solvers, Actas del 10th EuroPVM-MPI 2003, Venecia, 438--446. Mantas-Ruiz, J.M., Pareschi, L., Carrillo, J.A., Ortega-Lopera, J.,, Parallel integration of hydrodynamical approximation of the Boltzmann equation for rarefied gasses on a cluster of computers, J. Comput. Meth. Sci. Ing. 3, (2003), 337--346.
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