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A half-space problem for a non-linear Boltzmann equation arising in semiconductor statistics

✍ Scribed by F. Poupaud

Publisher: John Wiley and Sons
Year: 1991
Tongue: English
Weight: 650 KB
Volume: 14
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.1670140204

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✦ Synopsis

In semiconductors the distributions of electrons satisfy a non-linear Boltzmann-Vlasov equation. We consider the half-space problem arising in the study of boundary layers when the mean free path tends to zero. We prove the existence and the uniqueness of the solution for any prescribed entering distribution. We establish that this solution tends towards a Fermi-Dirac distribution exponentially fast.

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