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A global existence theorem for the initial-boundary-value problem for the Boltzmann equation when the boundaries are not isothermal

โœ Scribed by Leif Arkeryd; Carlo Cercignani

Publisher
Springer
Year
1993
Tongue
English
Weight
799 KB
Volume
125
Category
Article
ISSN
0003-9527

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โœฆ Synopsis

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 speeds is introduced in the collision term of the Boltzmann equation.

๐Ÿ“œ SIMILAR VOLUMES

On the initial-boundary value problem fo
On the initial-boundary value problem for the Boltzmann equation
โœ Carlo Cercignani ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Springer ๐ŸŒ English โš– 389 KB

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.