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 Tools annual

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 monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

This article deals with the issues of global-in-time existence and asymptoticanalysis of a fluid-particle interaction model in the so-called bubblingregime. The mixture occupies the physical space $\Omega \subset \mathbb{R}^3$which may be unbounded. The system under investigation describes the evolutionof particles dispersed in a viscous compressible fluid and is expressed by theconservation of fluid mass, the balance of momentum and the balance of particledensity often referred as the Smoluchowski equation. The coupling between thedispersed and dense phases is obtained through the drag forces that the fluidand the particles exert mutually by action-reaction principle. We show thatsolutions exist globally in time under reasonable physical assumptions on theinitial data, the physical domain, and the external potential. Furthermore, weprove the large-time stabilization of the system towards a unique stationarystate fully determined by the masses of the initial density of particles andfluid and the external potential.

On the Dynamics of a Fluid-Particle Interaction Model: The Bubbling Regime