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

Author(s):

Jan Muhammad * , Abdul Samad

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
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 ℝ3 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.
Keywords:

Compressible non-Newtonian fluid , weak solutions , vacuum , integrability

Language:
English
Published:
Journal of Applied and Computational Mechanics, Volume:7 Issue: 3, Summer 2021
Pages:
1527 to 1536
https://www.magiran.com/p2301655