Continuity of the temperature in a multi-phase transition problem. Part II

被引：0

作者：

Gianazza, Ugo ^{[1
]}

Liao, Naian ^{[2
]}

机构：

[1] Univ Pavia, Dipartimento Matemat F Casorati, Via Ferrata 5, I-27100 Pavia, Italy

[2] Univ Salzburg, Fachbereich Math, Hellbrunner Str 34, A-5020 Salzburg, Austria

来源：

INTERFACES AND FREE BOUNDARIES | 2024年 / 26卷 / 04期

基金：

奥地利科学基金会;

关键词：

phase transition; parabolic p-Laplacian; modulus of continuity; two-phase flow; FLOW; BEHAVIOR; EQUATIONS; 2-PHASE;

D O I：

10.4171/IFB/522

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Local continuity is established for locally bounded, weak solutions to a doubly non-linear parabolic equation that models the temperature of a material undergoing a multi-phase transition. The enthalpy, as a maximal monotone graph of the temperature, is allowed to possess several jumps and/or infinite derivatives at the transition temperatures. The effect of the p-Laplacian-type diffusion is also considered. As an application, we demonstrate a continuity result for the saturation in the flow of two immiscible fluids through a porous medium, when irreducible saturation is present.

引用

页码：625 / 674

页数：50

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