Abstract
We extend the existence theorem recently proved by Hamdache for the initial-boundary-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.
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Arkeryd, L., Cercignani, C. A global existence theorem for the initial-boundary-value problem for the Boltzmann equation when the boundaries are not isothermal. Arch. Rational Mech. Anal. 125, 271–287 (1993). https://doi.org/10.1007/BF00383222
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DOI: https://doi.org/10.1007/BF00383222