A Mathematical analysis of fluid motion in irreversible phase transitions

Autor(es)

Boldrini, Jose Luiz ^[1] ; de Miranda, Luis H. ^[2] ; Planas, Gabriela ^[1]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK; v. 66, n. 3, p. 785-817, JUN 2015.
• Citações Web of Science: 1

Resumo

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)

• Processo FAPESP: 08/09342-3 - Análise matemática de modelos do tipo campo de fase
• Beneficiário: Gabriela Del Valle Planas
• Modalidade de apoio: Auxílio à Pesquisa - Regular