Analysis of a System of Hemivariational Inequalities Arising in Non-Stationary Stokes Equation with Thermal Effects
Year: 2024
Author: Hailing Xuan, Xiaoliang Cheng
East Asian Journal on Applied Mathematics, Vol. 14 (2024), Iss. 1 : pp. 124–146
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.2022-353.260523
East Asian Journal on Applied Mathematics, Vol. 14 (2024), Iss. 1 : pp. 124–146
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 23
Keywords: Non-stationary Stokes equation hemivariational inequality thermal effects Banach fixed point theorem numerical analysis.