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

We are concerned with the Cauchy problem on the Boltzmann equation in thewhole space. The goal is to construct global-in-time bounded mild solutionsnear Maxwellians with the perturbation admitting a polynomial tail in largevelocities. The proof is based on the Caflisch's decomposition together withthe $L^2- L^\infty$ interplay technique developed by Guo. The full range ofboth hard and soft potentials under the Grad's cutoff assumption can becovered. The main difficulty to be overcome in case of the whole space is thepolynomial time decay of solutions which is much slower than the exponentialrate in contrast with the torus case.

Global mild solution with polynomial tail for the Boltzmann equation in the whole space