Local‐in‐Time Existence of Strong Solutions to a Quasi‐Incompressible Cahn–Hilliard–Navier–Stokes System

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 2026 Open access

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Authors: Mingwen Fei, Xiang Fei, Daozhi Han, Yadong Liu
DOI: 10.1002/zamm.70443
Cited by: 0

Abstract

ABSTRACT We analyze a quasi‐incompressible Cahn–Hilliard–Navier–Stokes system (qCHNS) for two‐phase flows with unmatched densities. The order parameter is the volume fraction difference of the two fluids, while mass‐averaged velocity is adopted. This leads to a quasi‐incompressible model where the pressure also enters the equation of the chemical potential. We establish local existence and uniqueness of strong solutions by the Banach fixed point theorem and the maximal regularity theory.

Fields of Study & Subjects

Navier-Stokes equation solutions Nonlinear Partial Differential Equations Solidification and crystal growth phenomena

Publication details

Journal / source
ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
Volume
106
Issue
5
Publication date
1 May 2026
Language
EN