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 propose an upwind finite volume method for a system of two kineticequations in one dimension that are coupled through nonlocal interaction terms.These cross-interaction systems were recently obtained as the mean-field limitof a second-order system of ordinary differential equations for two interactingspecies. Models of this kind are encountered in a myriad of contexts, forinstance, to describe large systems of indistinguishable agents such as cellcolonies, flocks of birds, schools of fish, herds of sheep. The finite volumemethod we propose is constructed to conserve mass and preserve positivity.Moreover, convex functionals of the discrete solution are controlled, which weuse to show the convergence of the scheme. Finally, we investigate the schemenumerically.

A Convergent Finite Volume Method for a Kinetic Model for Interacting Species