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Stationary solutions of the non-linear Boltzmann equation in a bounded spatial domain

✍ Scribed by C. V. M. van der Mee; H. Neunzert

Publisher: John Wiley and Sons
Year: 1989
Tongue: English
Weight: 648 KB
Volume: 11
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.1670110405

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✦ Synopsis

A contraction mapping (or, alternatively, an implicit function theory) argument is applied in combination with the Fredholm alternative to prove the existence of a unique stationary solution of the non-linear Boltzmann equation on a bounded spatial domain under a rather general reflection law at the piecewise C ' boundary. The boundary data are to be small in a weighted L,-norm.

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