Existence of solutions to a two-dimensional model for nonisothermal two-phase flows of incompressible fluids

被引：16

作者：

Eleuteri, Michela ^{[1
]}

Rocca, Elisabetta ^{[2
,3
]}

Schimperna, Giulio ^{[4
]}

机构：

[1] Dipartimento Matemat & Informat U Dini, Viale Morgagni 67-A, I-50134 Florence, Italy

[2] Weierstrass Inst Appl Anal & Stochast, Mohrenstr 39, D-10117 Berlin, Germany

[3] Univ Milan, Dipartimento Matemat F Enriques, I-20133 Milan, Italy

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

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2016年 / 33卷 / 06期

关键词：

Cahn-Hilliard; Navier-Stokes; Incompressible non-isothermal binary fluid; Global-in-time existence; A-priori estimates; PHASE-FIELD MODEL; MULTIPHASE FLOW; ATTRACTORS; VISCOSITY; MIXTURES; SYSTEM;

D O I：

10.1016/j.anihpc.2015.05.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a thermodynamically consistent diffuse interface model describing two-phase flows of incompressible fluids in a non-isothermal setting. The model was recently introduced in [11] where existence of weak solutions was proved in three space dimensions. Here, we aim to study the properties of solutions in the two-dimensional case. In particular, we can show existence of global in time solutions satisfying a stronger formulation of the model with respect to the one considered in [11]. (C) 2015 Elsevier Masson SAS. All rights reserved.

引用

页码：1431 / 1454

页数：24

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