Qualitative analysis of stationary generalized viscoplastic fluid flows

In this article,we consider the qualitative analysis of the generalized stationary regularized viscoplastic fluid equations with highly nonlinear viscosity. the existence and uniqueness of weak solutions are proved using the theory of monotone operators. under certain conditions,the contractive property of the viscoplastic operator is used to be a tool to show the stability of solutions for the dirichlet's problem with sources. some technical properties are proved which have good fitting with the experimental results for some types of flows. a novel viscoplastic model is proposed to avoid the singularity of the nonlinear viscoplastic viscosity.