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On existence of a global solution to the initial-boundary value problem for the Boltzmann equation

โœ Scribed by A. Sakabekov


Publisher
SP MAIK Nauka/Interperiodica
Year
1992
Tongue
English
Weight
546 KB
Volume
34
Category
Article
ISSN
0037-4466

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A theorem on the traces of the solutions of initial-boundary value problems for the Boltzmann equation is proved. This result makes it possible to extend a recent theorem of existence proved by I-IAMDACHE to more realistic situations.

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We extend the existence theorem recently proved by HAMDACHE for the initialboundary-value problem for the nonlinear Boltzmann equation in a vessel with isothermal boundaries to more general situations including the case when the boundaries are not isothermal. In the latter case a cut-off for large s