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.
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页码：1431 / 1454
页数：24
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