| Full text | |
| Author(s): |
Lopes, Juliana Honda
;
Planas, Gabriela
Total Authors: 2
|
| Document type: | Journal article |
| Source: | MATHEMATICAL METHODS IN THE APPLIED SCIENCES; v. N/A, p. 21-pg., 2023-04-18. |
| Abstract | |
This work is concerned with the mathematical analysis of a general cell-fluid Navier-Stokes model with the inclusion of chemotaxis. This general model relays on a mixture theory multiphase formulation. It consists of two mass balance equations and two general momentum balance equations, respectively, for the cell and fluid phase, combined with a convection-diffusion-reaction equation for oxygen. We investigate the existence of weak solutions in a two- or three-dimensional bounded domain when the fluids are assumed to be incompressible with constant volume fraction. (AU) | |
| FAPESP's process: | 19/02512-5 - Systems and partial differential equations |
| Grantee: | Marcelo da Silva Montenegro |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 20/14206-3 - Existence of weak solutions for a cell-fluid Navier-Stokes model with chemotaxis |
| Grantee: | Juliana Honda Lopes |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |