| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Fed Vicosa, Dept Matemat, BR-36570000 Vicosa, MG - Brazil
[2] Univ Estadual Campinas, Dept Matemat, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B; v. 20, n. 2, p. 397-422, MAR 2015. |
| Web of Science Citations: | 0 |
| Abstract | |
In this work we analyze a system of nonlinear evolution partial differential equations modeling the fluid-structure interaction associated to the dynamics of an elastic vesicle immersed in a moving incompressible viscous fluid. This system of equations couples an equation for a phase field variable, used to determine the position of vesicle membrane deformed by the action of the fluid, to the alpha-Navier- Stokes equations with an extra nonlinear interaction term. We prove global in time existence and uniqueness of solutions for this system in suitable functional spaces even in the three-dimensional case. (AU) | |
| FAPESP's process: | 09/15098-0 - Assessing control of epidemics using mathematical and computer models |
| Grantee: | Hyun Mo Yang |
| Support Opportunities: | Research Projects - Thematic Grants |