TY - JOUR
ID - 16582
TI - On Integrability up to the Boundary of the Weak Solutions to a Class of non-Newtonian Compressible Fluids with Vacuum
JO - Journal of Applied and Computational Mechanics
JA - JACM
LA - en
SN -
AU - Muhammad, Jan
AU - Samad, Abdul
AD - School of Mathematics, Department of Mathematics, CNS, Northwest University, Xi’an, 710127, P. R. China
AD - School of Mathematics, Department of Mathematics, Northwest University, Xi’an, 710127, P. R. China
Y1 - 2021
PY - 2021
VL - 7
IS - 3
SP - 1527
EP - 1536
KW - Compressible non-Newtonian fluid
KW - weak solutions
KW - vacuum
KW - integrability
DO - 10.22055/jacm.2021.35444.2655
N2 - 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.
UR - https://jacm.scu.ac.ir/article_16582.html
L1 - https://jacm.scu.ac.ir/article_16582_235256edd1c082ccb7a6417ed5686664.pdf
ER -