Communications in Mathematical Sciences

Volume 9 (2011)

Number 1

From Boltzmann equation to spherical harmonics expansion model: diffusion limit and Poisson coupling

Pages: 255 – 275

DOI: http://dx.doi.org/10.4310/CMS.2011.v9.n1.a12

Author

Mohamed Lazhar Tayeb (Department of Mathematics, University of Tunis El Manar, Tunisia)

Keywords

kinetic transport equations, boltzmann-poisson system, spherical harmonics expansion (SHE) model, relative entropy, electron-impurity collision, diffusion limit, macroscopic limit, Hilbert expansion

2010 Mathematics Subject Classification

35B25, 35B45, 54C70, 82B21, 82B40

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