Long-time stability of the implicit Euler scheme for a three dimensional globally modified two-phase flow model

Abstract

In this article we study a globally modified Allen–Cahn–Navier–Stokes system in a three-dimensional domain. The model consists of the globally modified Navier–Stokes equations proposed in (Adv. Nonlinear Stud. 6 (2006 ) 411–436) for the velocity, cou