Diffusion approximation of nonlinear electron phonon collision mechanisms
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 29 (1995) no. 7, p. 857-869
@article{M2AN_1995__29_7_857_0,
     author = {Markowich, Peter A. and Poupaud, Fr\'ed\'eric and Schmeiser, C.},
     title = {Diffusion approximation of nonlinear electron phonon collision mechanisms},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     publisher = {Dunod},
     volume = {29},
     number = {7},
     year = {1995},
     pages = {857-869},
     zbl = {0840.45011},
     mrnumber = {1364403},
     language = {en},
     url = {http://www.numdam.org/item/M2AN_1995__29_7_857_0}
}
Markowich, P. A.; Poupaud, F.; Schmeiser, C. Diffusion approximation of nonlinear electron phonon collision mechanisms. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 29 (1995) no. 7, pp. 857-869. http://www.numdam.org/item/M2AN_1995__29_7_857_0/

[MRS] P. Markowich, C. Rlnghofer, C. Schmeiser, 1989, Semiconductor Equations, Springer Verlag, Wien-New York. | Zbl 0765.35001

[MS] P. Markowich, C. Schmeiser, In preparation.

[GP] F. Golse, F. Poupaud, 1992, Limite fluide des équations de Boltzmann des semi-conducteurs pour une statistique de Fermi-Dirac, J. on Asympt. Analysis 6, pp. 135-160. | MR 1193108 | Zbl 0784.35084

[Maj1] A. Majorana, 1991, Space homogeneous solutions of the Boltzmann equation describing electron-phonon interactions in semiconductors, Trans. Th. and Stat Phys., 20, pp. 261-279. | MR 1121715 | Zbl 0800.76399

[Maj2] A. Majorana, 1993, Equilibrium solutions of the nonlinear Boltzmann equation for an electron gas in a semiconductor, Nuovo Cimento. To appear.

[PI] F. Poupaud, 1994, Mathematical theory of kinetic equations for transport modelling in semiconductors in Advances in Kinetic Theory and Computing Series in Applied Mathematics, B. Perthame editor, World Scientific (Singapore). | MR 1323182 | Zbl 0863.76075

[PS] F. Poupaud, C. Schmeiser, 1991, Charge transport in semiconductors with degeneracy effects, Math. Meth. in the Appl. Sci, 14, pp. 301-318. | MR 1113606 | Zbl 0733.76062