| Full text | |
| Author(s): |
Total Authors: 3
|
| Affiliation: | [1] Univ Estadual Campinas, Inst Matemat Estat & Comp Cient, Dept Matemat, BR-13083859 Campinas, SP - Brazil
[2] Univ Brasilia, Dept Matemat, BR-70910900 Brasilia, DF - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS; v. 11, n. 5, p. 2055-2078, SEP 2012. |
| Web of Science Citations: | 3 |
| Abstract | |
We analyze a singular system of partial differential equations corresponding to a model for the evolution of an irreversible solidification of certain pure materials by taking into account the effects of fluid flow in the molten regions. The model consists of a system of highly non-linear free-boundary parabolic equations and includes: a heat equation, a doubly nonlinear inclusion for the phase change and Navier-Stokes equations singularly perturbed by a Carman-Kozeny type term to take care of the flow in the mushy region and a Boussinesq term for the buoyancy forces due to thermal differences. Our approach to show existence of generalized solutions of this system involves time-discretization, a suitable regularization procedure and fixed point arguments. (AU) | |
| FAPESP's process: | 08/09342-3 - Mathematical analysis for phase-field models |
| Grantee: | Gabriela Del Valle Planas |
| Support Opportunities: | Regular Research Grants |