# Pullback attractors for a two-phase flow model in an infinite delay case

Pullback attractors for a two-phase flow model in an infinite delay case In this paper we study the existence of solutions for a coupled Allen-Cahn-Navier-Stokes model in two dimensions with an external force containing infinite delay effects in the weighted space C δ ( Y ) $C_{\delta }( \mathbb{Y})$ . We prove the existence of pullback attractors for the dynamical system associated to the problem under more general assumptions. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Advances in Difference Equations Springer Journals

# Pullback attractors for a two-phase flow model in an infinite delay case

, Volume 2017 (1) – Aug 15, 2017
20 pages
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Publisher
Springer International Publishing
Copyright
Copyright © 2017 by The Author(s)
Subject
Mathematics; Difference and Functional Equations; Mathematics, general; Analysis; Functional Analysis; Ordinary Differential Equations; Partial Differential Equations
eISSN
1687-1847
D.O.I.
10.1186/s13662-017-1302-3
Publisher site
See Article on Publisher Site

### Abstract

In this paper we study the existence of solutions for a coupled Allen-Cahn-Navier-Stokes model in two dimensions with an external force containing infinite delay effects in the weighted space C δ ( Y ) $C_{\delta }( \mathbb{Y})$ . We prove the existence of pullback attractors for the dynamical system associated to the problem under more general assumptions.

### Journal

Advances in Difference EquationsSpringer Journals

Published: Aug 15, 2017

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