@Article{EAJAM-14-124,
author = {Xuan , Hailing and Cheng , Xiaoliang},
title = {Analysis of a System of Hemivariational Inequalities Arising in Non-Stationary Stokes Equation with Thermal Effects},
journal = {East Asian Journal on Applied Mathematics},
year = {2024},
volume = {14},
number = {1},
pages = {124--146},
abstract = {<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>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.2022-353.260523},
url = {http://global-sci.org/intro/article_detail/eajam/22322.html}
}