The Navier-Stokes-Cahn-Hilliard equations for mildly compressible binary fluid mixtures

Andrea Giorgini; Roger Temam; Xuan-Truong Vu

doi:10.3934/dcdsb.2020141

Article Contents

2021, Volume 26, Issue 1: 337-366. Doi: 10.3934/dcdsb.2020141

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The Navier-Stokes-Cahn-Hilliard equations for mildly compressible binary fluid mixtures

1.
Department of Mathematics & The Institute for Scientific Computing, and Applied Mathematics, Indiana University, Bloomington, Indiana 47405, USA
2.
Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago, Chicago, Illinois 60607, USA

^* Corresponding author: Andrea Giorgini
^* Corresponding author: Andrea Giorgini

Received: December 31, 2019

Early access: April 2020

Published: January 2021

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Abstract

We study the well-posedness for the mildly compressible Navier-Stokes-Cahn-Hilliard system with non-constant viscosity and Landau potential in two and three dimensional domains.

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Mathematics Subject Classification: Primary: 35Q35, 35D30, 35D35; Secondary: 76T05.

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