Existence and Uniqueness of Solution to the Two-Phase Stefan Problem with Convection

被引：3

作者：

Barbu, Viorel ^{[1
]}

Ciotir, Ioana ^{[2
]}

Danaila, Ionut ^{[3
]}

机构：

[1] Romanian Acad, Octav Mayer Inst Math, Iasi, Romania

[2] Normandie Univ, INSA Rouen Normandie, CNRS, LMI,EA 3226,FR 3335, 685 Ave Univ, F-76801 St Etienne Du Rouvray, France

[3] Univ Rouen Normandie, CNRS, UMR 6085, Lab Math Raphael Salem, Ave Univ,BP 12, F-76801 St Etienne Du Rouvray, France

来源：

APPLIED MATHEMATICS AND OPTIMIZATION | 2021年 / 84卷 / SUPPL 1期

关键词：

Stefan problem; Navier-Stokes equation; Convection velocity; Monotone operators;

D O I：

10.1007/s00245-021-09764-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The well posedness of the two-phase Stefan problem with convection is established in L-1. First we consider the case with a singular enthalpy and we fix the convection velocity. In the second part of the paper we study the case of a smoothed enthalpy, but the convection velocity is the solution to a Navier-Stokes equation. In the last section we give some numerical illustrations of a physical case simulated using the models studied in the paper.

引用

页码：S123 / S157

页数：35

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