| Author(s): |
Lopes, Juliana Honda
;
Planas, Gabriela
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Electronic Journal of Differential Equations; v. 2022, n. 72, p. 22-pg., 2022-10-25. |
| Abstract | |
This article aims to study the existence of solutions for a non -isothermal Navier-Stokes-Allen-Cahn system with thermo-induced coefficients. The system can be considered as a model describing the motion of a mixture of two viscous incompressible fluids with viscosity, thermal conductivity and interfacial thickness being temperature-dependent. This is a more general sys-tem than the previous ones considered in the literature, involving temperature dependence on all main coefficients. The strong non-linear couplings between those equations because of the temperature dependence brings new mathemat-ical difficulties that only allows working in two dimensions. (AU) | |
| 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 |
| FAPESP's process: | 19/02512-5 - Systems and partial differential equations |
| Grantee: | Marcelo da Silva Montenegro |
| Support Opportunities: | Research Projects - Thematic Grants |