Strong solutions for a phase field Navier-Stokes vesicle-fluid interaction model

DOI10.1007/s00021-011-0059-9zbMath1294.35106OpenAlexW2074127312MaRDI QIDQ407423

Yuning Liu, Marius Tucsnak, Takéo Takahashi

Publication date: 1 September 2014

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00021-011-0059-9

zbMATH Keywords

Navier-Stokesphase fieldvesicle membranefluid vesicle interaction

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Liquid-gas two-phase flows, bubbly flows (76T10)

Related Items

Long-Time Behavior of a Cahn-Hilliard-Navier-Stokes Vesicle-Fluid Interaction Model, A Beale-Kato-Majda blow-up criterion for a hydrodynamic system modeling vesicle and fluid interactions, A phase field \(\alpha\)-Navier-Stokes vesicle-fluid interaction model: existence and uniqueness of solutions, Phase Field Models for Two-Phase Flow with Surfactants and Biomembranes, Logarithmically improved blow-up criteria for a phase field Navier-Stokes vesicle-fluid interaction model, Convergence to equilibrium of global weak solutions for a Cahn-Hilliard-Navier-Stokes vesicle model, Well-posedness of a hydrodynamic phase-field system for functionalized membrane-fluid interaction

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