ABSTRACT
Most of the equations and systems studied in this book have physical origin. They can be derived from basic balance laws by taking particular forms for constitutive relations and/or by considering particular kind of materials and processes. This chapter discusses the scalar hyperbolic equation of second order and the compressible and incompressible non-Newtonian fluids undergoing isothermal processes. This book This book is devoted to the mathematical analysis of systems of equations. The fundamental problem of such analysis is to show the existence of solutions in appropriate function spaces. Thus, the chapter gives a survey of their definitions and basic properties.
