On the Cahn-Hilliard-Oono-Navier-Stokes equations with singular potentials. Issue 12 (1st December 2016)

• Record Type: Journal Article
• Authors: Miranville, Alain; Temam, Roger
• Is Part Of: Applicable analysis. Volume 95:Issue 12(2016)
• Page Start: 2609
• Page End: 2624
• Publication Date: 2016-12-01
• Subjects: Binary fluid -- Navier–Stokes equations -- Cahn–Hilliard–Oono equation -- singular potentials -- existence; 35K55 -- 35Q35 -- 76D05; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2015.1102893
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract : Our aim in this article is to prove the existence of solutions for a Cahn–Hilliard–Navier–Stokes system based on the Oono model and with singular potentials (and, in particular, the thermodynamically relevant logarithmic potentials). The Oono model was proposed in order to account for long-ranged (nonlocal) interactions, but also to simplify numerical simulations.