Abstract
If we want to describe a physical situation where a gas flows past a solid body or is contained in a region bounded by one or more solid bodies, the Boltzmann equation must be accompanied by boundary conditions, which describe the interaction of the gas molecules with the solid walls. It is to this interaction that one can trace the origin of the drag and lift exerted by the gas on the body and the heat transfer between the gas and the solid boundary. Hence, in order to write down the correct boundary conditions for the Boltzmann equation we need information that stems from a discipline that may be regarded as a bridge between the kinetic theory of gases and solid-state physics.
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Cercignani, C., Illner, R., Pulvirenti, M. (1994). Boundary Conditions. In: The Mathematical Theory of Dilute Gases. Applied Mathematical Sciences, vol 106. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-8524-8_9
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DOI: https://doi.org/10.1007/978-1-4419-8524-8_9
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