Diffusion approximation of nonlinear electron phonon collision mechanisms
ESAIM: Modélisation mathématique et analyse numérique, Tome 29 (1995) no. 7, pp. 857-869. 
@article{M2AN_1995__29_7_857_0,
     author = {Markowich, P. A. and Poupaud, F. and Schmeiser, C.},
     title = {Diffusion approximation of nonlinear electron phonon collision mechanisms},
     journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
     pages = {857--869},
     publisher = {AFCET - Gauthier-Villars},
     address = {Paris},
     volume = {29},
     number = {7},
     year = {1995},
     mrnumber = {1364403},
     zbl = {0840.45011},
     language = {en},
     url = {http://archive.numdam.org/item/M2AN_1995__29_7_857_0/}
}
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Markowich, P. A.; Poupaud, F.; Schmeiser, C. Diffusion approximation of nonlinear electron phonon collision mechanisms. ESAIM: Modélisation mathématique et analyse numérique, Tome 29 (1995) no. 7, pp. 857-869. http://archive.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

[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 | Zbl

[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 | Zbl

[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 | Zbl

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