English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

We study the asymptotic behavior of the kinetic free-transport equationenclosed in a regular domain, on which no symmetry assumption is made, withCercignani-Lampis boundary condition. We give the first proof of existence of asteady state in the case where the temperature at the wall varies, and derivethe optimal rate of convergence towards it, in the L1 norm. The strategy is anapplication of a deterministic version of Harris subgeometric theorem, in thespirit of Ca\~nizo-Mischler (2021) and Bernou (2020). We also investigaterigorously the velocity flow of a model mixing pure diffuse andCercignani-Lampis boundary conditions with variable temperature, for which wederive an explicit form for the steady state, providing new insights on therole of the Cercignani-Lampis boundary condition in this problem.

Convergence Towards the Steady State of a Collisionless Gas With Cercignani-Lampis Boundary Condition