On Integrability up to the Boundary of the Weak Solutions to a Class of non-Newtonian Compressible Fluids with Vacuum

被引：0

作者：

Muhammad, Jan ^{[1
]}

Samad, Abdul ^{[2
]}

机构：

[1] Northwest Univ, CNS, Sch Math, Dept Math, Xian 710127, Peoples R China

[2] Northwest Univ, Sch Math, Dept Math, Xian 710127, Peoples R China

来源：

JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS | 2021年 / 7卷 / 03期

关键词：

Compressible non-Newtonian fluid; Weak solutions; Vacuum; Integrability; NAVIER-STOKES EQUATIONS; GLOBAL EXISTENCE; CRITICAL SPACES; MOTION; UNIQUENESS;

D O I：

10.22055/JACM.2021.35444.2655

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this paper, we study the integrability up to the boundary of the weak solutions of non-Newtonian compressible fluid with a nonlinear constitutive equation in R-3 bounded domain. Galerkin approximation will be used for existence of weak solutions and by applying the bounded linear operator B, introduced by Bogovskii, we prove the square integrability of the density up to the boundary.

引用

页码：1527 / 1536

页数：10

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