The book is designed for advanced graduate students as well as postdoctoral researchers across several disciplines (e.g., mathematics, physics and engineering), as it provides them with tools and techniques that are essential in performing research on the flow problems of visco-plastic fluids. The following topics are treated: - analysis of classical visco-plastic fluid models mathematical modeling of flows of viscoplastic fluids computing flows of viscoplastic fluids rheology of viscoplastic fluids and viscoplastic suspensions application of viscoplastic fluids in engineering sciences complex flows of viscoplastic fluids.