Existence of weak solutions to a diffuse interface model involving magnetic fluids with unmatched densities

DOI10.1007/s00030-023-00852-0zbMath1519.76366arXiv2105.04291OpenAlexW3163101540MaRDI QIDQ6039676

Sourav Mitra, Anja Schlömerkemper, Martin Kalousek

Publication date: 23 May 2023

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.04291

zbMATH Keywords

Cauchy problemincompressible Navier-Stokes equationssubdifferentialimplicit time discretizationcompactness argumentCahn-Hilliard equationssingular potentialLeray-Schauder fixed point principle

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations (35Q30) Magnetohydrodynamics and electrohydrodynamics (76W05) Liquid-liquid two component flows (76T06)

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