Commun. Korean Math. Soc. 2024; 39(2): 513-534
Online first article April 19, 2024 Printed April 30, 2024
https://doi.org/10.4134/CKMS.c210425
Copyright © The Korean Mathematical Society.
Mosbah Kaddour, Farid Messelmi, Saf Salim
Mohamed Boudiaf University; Ziane Achour University; Amar Telidji University
The main goal of this work is to study an initial boundary value problem relating to the unsteady flow of a rigid, viscoplastic, and incompressible Bingham fluid in an elastic bounded domain of $\mathbb{R}^{2}$. By using the approximation sequences of the Faedo-Galerkin method together with the regularization techniques, we obtain the results of the existence and uniqueness of local solutions.
Keywords: Bingham fluid, elastic domain, interface, transmission
MSC numbers: Primary 76A05, 49J40, 76B15
2016; 31(2): 263-275
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