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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
B. Guo and Y. Liu, Inst. of Appl. Phys. & Comp. Math.; C. Guo, China U. of Mining and Tech.; Q. Li, China Acad. of Aerosp. Aerodyn.
1 Non-Newtonian fluids and their Mathematical model
2 Global solutions to the equations of non-Newtonian fluids
3 Measure valued solutions to the non-Newtonian fluids
4 Global attractors of incompressible non-Newtonian fluids
5 Global attractors of modified Boussinesq approximation
6 Inertial manifolds of incompressible non-Newtonian fluids
7 The regularity of solutions and related problems
8 Global attractors and time-spatial chaos
9 Non-Newtonian generalized fluid and their applications
References