| Full text | |
| Author(s): |
Total Authors: 3
|
| Affiliation: | [1] Univ Estadual Campinas, Dept Matemat, Inst Matemat Estat & Comp Cient, 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: | ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK; v. 66, n. 3, p. 785-817, JUN 2015. |
| Web of Science Citations: | 1 |
| Abstract | |
This article addresses the mathematical analysis of a model for the irreversible solidification process of certain materials by taking in consideration the effects of natural convection in molten regions. Such a model consists of a highly nonlinear system of partial differential equations coupled to a doubly nonlinear differential inclusion. The existence of weak-strong solutions for the system is proved, and certain mathematical effects of advection on the regularity of the solutions are discussed. (AU) | |
| FAPESP's process: | 08/09342-3 - Mathematical analysis for phase-field models |
| Grantee: | Gabriela Del Valle Planas |
| Support Opportunities: | Regular Research Grants |