Communications of the
Korean Mathematical Society CKMS

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