Liu, Yuning and Takahashi, Takeo (2014) Existence of global weak solutions for a phase-field model of a vesicle moving into a viscous incompressible fluid. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 37 (10). pp. 1507-1526. ISSN 0170-4214, 1099-1476
Full text not available from this repository. (Request a copy)Abstract
We consider in this article a model of vesicle moving into a viscous incompressible fluid. The vesicle is described through a phase-field equation and through a transport equation modeling the local incompressibility of its membrane. The equations for the fluid are the classical Navier-Stokes equations with a force resulting from the presence of the vesicle. Our main result states the existence of weak solutions for the corresponding system. The proof is based on compactness/monotonicity arguments. Copyright (c) 2013 John Wiley & Sons, Ltd.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | LIQUID-CRYSTALS; EQUATIONS; FLOW; fluid vesicle interaction; vesicle membrane; Navier-Stokes; phase-field; local incompressibility |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 16 Sep 2019 08:13 |
| Last Modified: | 16 Sep 2019 08:13 |
| URI: | https://pred.uni-regensburg.de/id/eprint/9884 |
Actions (login required)
 |
View Item |
