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

DOI10.3934/dcdsb.2020141zbMath1464.35222OpenAlexW3022649211MaRDI QIDQ2026613

Roger M. Temam, Andrea Giorgini, Xuan-Truong Vu

Publication date: 20 May 2021

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2020141

zbMATH Keywords

Navier-Stokes equationsuniquenessstrong solutionsCahn-Hilliard equationmildly compressible mixtures

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35) Liquid-liquid two component flows (76T06)

Related Items

Navier–Stokes–Cahn–Hilliard system of equations ⋮ Weak solution of a stochastic 3D nonlocal Cahn–Hilliard–Navier–Stokes systems with shear-dependent viscosity ⋮ A stochastic Allen-Cahn-Navier-Stokes system with singular potential

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