TY - JOUR
T1 - On Free Boundary Problem for the Non-Newtonian Shear Thickening Fluids
AU - Wang , Shu
AU - Yuan , Fang
JO - Journal of Partial Differential Equations
VL - 1
SP - 14
EP - 41
PY - 2021
DA - 2021/01
SN - 34
DO - http://doi.org/10.4208/jpde.v34.n1.2
UR - https://global-sci.org/intro/article_detail/jpde/18552.html
KW - On free boundary problem, the non-Newtonian shear thickening fluids, vacuum.
AB - <p style="text-align: justify;">The aim of this paper is to explore the free boundary problem for the Non-Newtonian shear thickening fluids. These fluids not only have vacuum, but also have
strong nonlinear properties. In this paper, a class of approximate solutions is first
constructed, and some uniform estimates are obtained for these approximate solutions.
Finally, the existence of free boundary problem solutions is proved by these uniform
estimates.</p>