The main goal of this book is to provide an overview of the state of the art in the
mathematical modeling of complex fluids with particular emphasis on its thermodynamical
aspects. The central topics of the text the modeling analysis and numerical simulation of
complex fluids are of great interest and importance both for the understanding of various
aspects of fluid dynamics and for its applications to special real-world problems. New emerging
trends in the subject are highlighted with the intent to inspire and motivate young researchers
and PhD students.