TY  - JOUR
T1  - Global weak solutions to a class of non-Newtonian compressible fluids
A1  - Feireisl, Eduard
A1  - Liao, Xian
A1  - Málek, Josef
JA  - Math. Methods Appl. Sci.
Y1  - 2015
VL  - 38
IS  - 16
SP  - 3482–3494
M2  - doi: 10.1002/mma.3432
KW  - bounded divergence of the velocity
KW  - compressible fluid
KW  - generalized Newtonian fluids
KW  - positive density.
KW  - power law fluid
KW  - weak solutions
N2  - We consider a class of compressible fluids with nonlinear constitutive equations that guarantee that the divergence of the velocity field remains bounded. We study mathematical properties of unsteady three dimensional flows of such fluids in bounded domains. In particular, we show the long-time and large-data existence result of weak solutions with strictly positive density.
M1  - Preprint project = MORE
M1  - Preprint year = 2014
M1  - Preprint number = 05
M1  - Preprint ID = MORE/2014/05
ER  -