Weak and very weak solutions to the viscous Cahn-Hilliard-Oberbeck-Boussinesq phase-field system on two-dimensional bounded domains

DOI10.1007/s00028-022-00765-yzbMath1490.35346OpenAlexW4214898152MaRDI QIDQ2115108

Gilbert R. Peralta

Publication date: 15 March 2022

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-022-00765-y

zbMATH Keywords

weak solutionsCahn-Hilliard equationinterpolation spacesFaedo-Galerkin methodvery weak solutionsOberbeck-Boussinesq systembinary fluidsmaximal parabolic regularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30) Semilinear parabolic equations (35K58) Liquid-liquid two component flows (76T06)

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Optimal borel measure-valued controls to the viscous Cahn–Hilliard–Oberbeck–Boussinesq phase-field system on two-dimensional bounded domains

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