Nonlocal Cahn-Hilliard-Hele-Shaw systems with singular potential and degenerate mobility
DOI10.1007/s00021-021-00648-1zbMath1482.35167arXiv2107.02269OpenAlexW3182883895MaRDI QIDQ2063725
Cecilia Cavaterra, Sergio Frigeri, Maurizio Grasselli
Publication date: 3 January 2022
Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.02269
regularityuniquenessstrong solutionsweak solutionsDarcy's lawCahn-Hilliard equationlogarithmic potentialdegenerate mobilitynon-constant viscositynonlocal free energy
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Reaction effects in flows (76V05) Weak solutions to PDEs (35D30) Other free boundary flows; Hele-Shaw flows (76D27) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35) Liquid-liquid two component flows (76T06)
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