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The Physisorbate-Layer Problem Arising in Kinetic Theory of Gas-Surface Interaction by Aoki, Kazuo; Giovangigli, Vincent; Golse, François; Kosuge, Shingo is a scholarly article available to read on EtoBox.

What is The Physisorbate-Layer Problem Arising in Kinetic Theory of Gas-Surface Interaction about?

A half-space problem of a linear kinetic equation for gas molecules physisorbed close to a solid surface, relevant to a kinetic model of gas-surface interactions and derived by Aoki et al. [K.~Aoki et al., in: Phys. Rev. E 106:035306, 2022], is considered. The equation contains a confinement potential in the vicinity of the solid surface and an interaction term between gas molecules and phonons. It is proved that a unique solution exists when the incoming molecular flux is specified at infinity. This validates the natural observation that the half-space problem serves as the boundary condition for the Boltzmann equation. It is also proved that the sequence of approximate solutions used for the existence proof converges exponentially fast. In addition, numerical results showing the details of the solution to the half-space problem are presented.

Author

Aoki, Kazuo; Giovangigli, Vincent; Golse, François; Kosuge, Shingo

Published

2024

Language

EN