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

页码：785 / 817

页数：33

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