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Nonlinear Boltzmann equation with partially absorbing boundary conditions. Global existence and uniqueness results

Journal Article · · J. Math. Phys. (N.Y.); (United States)
DOI:https://doi.org/10.1063/1.527560· OSTI ID:6680356
The method applied by Bellomo and Toscani (J. Math. Phys. 26, 334 (1985)) for the Boltzmann equation in an infinite medium to establish global results for bounded media with partially absorbing boundary conditions is generalized. The method does not require that the equilibrium solution be the vacuum state and, accordingly, does not rely on positivity/monotonicity arguments. The growth produced by the nonlinearity is compensated by the combined effect of streaming and (partial) absorption (leakage) at the boundary.
Research Organization:
Dipartimento di Matematica, Universita-grave-accent di Ferrara, 44100 Ferrara, Italy
OSTI ID:
6680356
Journal Information:
J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 28:5; ISSN JMAPA
Country of Publication:
United States
Language:
English

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