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Homogenization of the Linear Boltzmann Equation in a Domain with a Periodic Distribution of Holes

✍ Scribed by Bernard, Etienne; Caglioti, Emanuele; Golse, François

Book ID
118197826
Publisher
Society for Industrial and Applied Mathematics
Year
2010
Tongue
English
Weight
367 KB
Volume
42
Category
Article
ISSN
0036-1410

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✍ C. V. M. van der Mee; H. Neunzert 📂 Article 📅 1989 🏛 John Wiley and Sons 🌐 English ⚖ 648 KB

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