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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

This paper proves the existence of weak solutions to the the spatially homogeneous Boltzmann equation for Maxwellian molecules, when the initial data are chosen from the space of all Borel probability measures on R^3 with finite second moments, and the (angular) collision kernel satisfies a very weak cutoff condition. For the equation at issue, the uniqueness of the solution corresponding to a specific initial datum has been recently established in Fournier and Guérin (J Stat Phys 131:749–781, 2008). Finally, conservation of momentum and energy is also proved for these weak solutions, without resorting to any boundedness of the entropy

Mathematical treatment of the homogeneous Boltzmann equation for Maxwellian molecules in the presence of singular kernels