Differential and Integral Equations

Attractors for a two-phase flow model with delays

T. Tachim Medjo

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In this article, we study a coupled Allen-Cahn-Navier-Stokes model with delays in a two-dimensional domain. The model consists of the Navier-Stokes equations for the velocity, coupled with a Allen-Cahn model for the order (phase) parameter. We prove the existence of an attractor using the theory of pullback attractors.

Article information

Differential Integral Equations, Volume 29, Number 11/12 (2016), 1071-1092.

First available in Project Euclid: 13 October 2016

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35Q30: Navier-Stokes equations [See also 76D05, 76D07, 76N10] 35Q35: PDEs in connection with fluid mechanics 35Q72


Medjo, T. Tachim. Attractors for a two-phase flow model with delays. Differential Integral Equations 29 (2016), no. 11/12, 1071--1092. https://projecteuclid.org/euclid.die/1476369330

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