Semi-strong and strong solutions for variable density asymmetric fluids in unbounded domains

被引：11

作者：

Silva, Pablo Braz E. ^{[1
]}

Cruz, FelipeW. ^{[1
]}

Rojas-Medar, Marko A. ^{[2
]}

机构：

[1] Univ Fed Pernambuco, Dept Matemat, BR-50740560 Recife, PE, Brazil

[2] Univ Tarapac, Inst Alta Investigac, Casilla 7D, Arica, Chile

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 03期

关键词：

asymmetric fluids; semi-Galerkin approximations; semi-strong solutions; strong solutions; regularity theory; NAVIER-STOKES EQUATIONS; BOUNDARY-VALUE PROBLEM; GLOBAL WEAK SOLUTIONS; INCOMPRESSIBLE FLUIDS; VANISHING VISCOSITY; EXISTENCE; REGULARITY; APPROXIMATION; R-3;

D O I：

10.1002/mma.4006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish the existence of local in time semi-strong solutions and global in time strong solutions for the system of equations describing flows of viscous and incompressible asymmetric fluids with variable density in general threedimensional domains with boundary uniformly of class C-3. Under suitable assumptions, uniqueness of local semi-strong solutions is also proved. Copyright (C) 2016 JohnWiley & Sons, Ltd.

引用

页码：757 / 774

页数：18

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