TY - JOUR
T1 - Analysis of a System of Hemivariational Inequalities Arising in Non-Stationary Stokes Equation with Thermal Effects
AU - Xuan , Hailing
AU - Cheng , Xiaoliang
JO - East Asian Journal on Applied Mathematics
VL - 1
SP - 124
EP - 146
PY - 2024
DA - 2024/01
SN - 14
DO - http://doi.org/10.4208/eajam.2022-353.260523
UR - https://global-sci.org/intro/article_detail/eajam/22322.html
KW - Non-stationary Stokes equation, hemivariational inequality, thermal effects, Banach fixed point theorem, numerical analysis.
AB - <p style="text-align: justify;">A non-stationary Stokes equation coupled with an evolution equation of temperature field is studied. Boundary conditions for velocity and temperature fields contain
the generalized Clarke gradient. The corresponding variational formulation is governed
by a system of hemivariational inequalities. The existence and uniqueness of a weak solution is proved by employing Banach fixed point theorem and hemivariational inequalities. Besides, a fully-discrete problem for this system of hemivariational inequalities is
given and error estimates are derived.</p>