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

This paper is concerned with the large time behavior of the Cauchy problemfor Navier-Stokes/Allen-Cahn system describing the interface motion ofimmiscible two-phase flow in 3-D. The existence and uniqueness of globalsolutions and the stability of the phase separation state is proved under thesmall initial perturbations. Moreover, the optimal time decay rates areobtained for higher-order spatial derivatives of density, velocity and phase.Our results implies that if the immiscible two-phase flow is initially locatednear the phase separation state, then under small perturbation conditions, thesolution exists globally and decays algebraically to the complete separationstate of the two-phase flow, that is, there will be no interface fracture,vacuum, shock wave, mass concentration at any time, and the interface thicknesstends to zero as the time $t\rightarrow+\infty$.

Stability of the Phase Separation State for Compressible Navier-Stokes/Allen-Cahn System