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Research Group on PDE's in Kinetic Theory, Quantum-Kinetics, Fluid Mechanics and Developmental Biology
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Anile, A.M. Carrillo, J.A., Gamba, I., Shu, C.W., Approximation of the BTE by a relaxation-time operator: simulations for a 50nm-channel Si diode WLSI Design Journal , 13, (2001), 349--354. Arnold, A., Carrillo, J.A., Gamba, I., Shu, C.W., Low and high field scaling limits for the Vlasov and Wigner-Poisson-Fokker-Planck system, Transp. Theory and Stat. Phys., 30, (2001), 121--153. Bechouche, P., López, J.L., Soler, J., Long-time asymptotics for semiconductor crystals, Nonlinear Analysis TMA., Vol. 47, No. 9, (2001), 5861--5872. Bechouche, P., Mauser, N., Poupaud, F., Semiclassical limit for the Schrödinger-Poisson equation in a crystal, Comm. Pure Appl. Math. 54, no. 7, (2001), 851--890. Bonilla, L.L., Soler, J., 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. Carrillo, J.A., Jüngel, A., Markowich, P., Toscani, G., Unterreiter, A., Entropy dissipation methods for degenerate parabolic problems and generalized Sobolev inequalities, Monatshefte fur Mathematik 133, (2001), 1--82. Nieto, J., A generalized mean field approach to the polaron, Math. Mod. and Methods in Appl. Sci., Vol. 11, no. 9, (2001), 1597--1607. Nieto, J., Poupaud, F., Soler, J., High field limit for the Vlasov-Poisson-Fokker-Planck system, Arch. Rational Mech. Anal. 158, no. 1, (2001), 29--59. Ruiz-Arriola, E., Soler, J., A variational approach to the Schrödinger-Poisson system: asymptotic behaviour, breathers and stability, J. Stat. Phys., Vol. 103, nos. 5/6, (2001), 1069--1105.
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