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 Plus annual

Presents the access of premium content as premium feature

Premium Content

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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

The purpose of this note, as a compendium, is to extend the results onentropic convergence and the linearized limit for the Boltzmann equation(without external force) in \cite{Levermore} by Levermore to the case of theBoltzmann equation with external force. More specifically, starting from theBoltzmann equation with an external force introduced in \cite{DL16} byArs\'{e}nio and Saint-Raymond, we find conditions on the force, to maintain theresult in \cite{Levermore} (as an important application of the theory ofDiPerna-Lions renormalized solutions) about the validity of the linearizationapproximation when the initial datum approaches a global Maxwellian.

Entropic convergence and the linearized limit for the Boltzmann equation with external force