Analysis of a phase field Navier-Stokes vesicle-fluid interaction model. (English) Zbl 1172.74016
The authors consider the phase-field Navier-Stokes model for vesicle shape dynamics, which is governed by the coupling of hydrodynamic fluid flow and bending elastic properties of the vesicle membrane. The existence and uniqueness of the global weak solutions are obtained.
Reviewer: Messoud A. Efendiev (Berlin)
MSC:
| 74F10 | Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) |
| 76D03 | Existence, uniqueness, and regularity theory for incompressible viscous fluids |
| 74H20 | Existence of solutions of dynamical problems in solid mechanics |
| 74H25 | Uniqueness of solutions of dynamical problems in solid mechanics |
| 35Q30 | Navier-Stokes equations |
