Existence of global weak solutions for a phase–field model of a vesicle moving into a viscous incompressible fluid

DOI10.1002/mma.2912zbMath1294.35068OpenAlexW2015928232MaRDI QIDQ5170229

Yuning Liu, Takéo Takahashi

Publication date: 22 July 2014

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2912

zbMATH Keywords

phase-fieldvesicle membranefluid vesicle interactionNavier--Stokeslocal incompressibility

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Liquid-gas two-phase flows, bubbly flows (76T10) Weak solutions to PDEs (35D30)

Related Items

Global well-posedness of the two dimensional Beris-Edwards system with general Laudau-de Gennes free energy

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Ordinary differential equations, transport theory and Sobolev spaces
• On a diffuse interface model for two-phase flows of viscous, incompressible fluids with matched densities
• Existence of weak solutions for a non-classical sharp interface model for a two-phase flow of viscous, incompressible fluids
• Compact sets in the space \(L^ p(0,T;B)\)
• Partial regularity of the dynamic system modeling the flow of liquid crystals
• Existence of weak solutions for the three-dimensional motion of an elastic structure in an incompressible fluid
• Nonlinear theory of defects in nematic liquid crystals; Phase transition and flow phenomena
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• Partial regularity of suitable weak solutions of the navier-stokes equations
• Nonparabolic dissipative systems modeling the flow of liquid crystals