A Mathematical analysis of fluid motion in irreversible phase transitions

被引：1
作者：
Boldrini, Jose Luiz [1 ]
de Miranda, Luis H. [2 ]
Planas, Gabriela [1 ]
机构：
[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
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2015年 / 66卷 / 03期
基金：
巴西圣保罗研究基金会;
关键词：
Irreversible phase transitions; Singular Stokes equations; Convection; Existence of solutions; FIELD MODEL; CONVECTION; EXISTENCE; REGULARITY; EQUATIONS;
D O I：
10.1007/s00033-014-0434-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：785 / 817
页数：33
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