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 consider the 3D Boltzmann equation with the constant collision kernel. Weinvestigate the well/ill-posedness problem using the methods from nonlineardispersive PDEs. We construct a family of special solutions, which are neithernear equilibrium nor self-similar, to the equation, and prove that thewell/ill-posedness threshold in $H^{s}$ Sobolev space is exactly at regularity$s=1$, despite the fact that the equation is scale invariant at$s=\frac{1}{2}$.

Well/ill-posedness bifurcation for the Boltzmann equation with constant collision kernel