This book provides an up-to-date overview of mathematical theories and research results in non-Newtonian fluid dynamics. Related mathematical models, solutions as well as numerical experiments are discussed. Fundamental theories and practical applications make it a handy reference for researchers and graduate students in mathematics, physics and engineering.

Contents

Non-Newtonian fluids and their mathematical model

Global solutions to the equations of non-Newtonian fluids

Global attractors of incompressible non-Newtonian fluids

Global attractors of modified Boussinesq approximation

Inertial manifolds of incompressible non-Newtonian fluids

The regularity of solutions and related problems

Global attractors and time-spatial chaos

Non-Newtonian generalized fluid and their applications