Adelia Sequeira Livres

Focusing on fluid mechanics, this Research Note compiles mathematical studies on non-Newtonian and viscoelastic fluids, along with analyses of the Navier-Stokes equations in unbounded domains. It reviews both incompressible and compressible flow dynamics, as well as stability in magnetohydrodynamic and electrohydrodynamic contexts. The proceedings from a 1991 summer course in Lisbon offer a comprehensive survey and advanced introduction to fluid mechanics and partial differential equations, addressing a range of related topics.

This book presents a series of challenging mathematical problems which arise in the modeling of Non-Newtonian fluid dynamics. It focuses in particular on the mathematical and physical modeling of a variety of contemporary problems, and provides some results. The flow properties of Non-Newtonian fluids differ in many ways from those of Newtonian fluids. Many biological fluids (blood, for instance) exhibit a non-Newtonian behavior, as do many naturally occurring or technologically relevant fluids such as molten polymers, oil, mud, lava, salt solutions, paint, and so on. The term "complex flows" usually refers to those fluids presenting an "internal structure" (fluid mixtures, solutions, multiphase flows, and so on). Modern research on complex flows has increased considerably in recent years due to the many biological and industrial applications.