Mechanics and Mathematics of Fluids of the Differential Type

Doina Vioranescu is Director of Research at CNRS, Laboratoire Jacquies-Louis Lions, Université Pierre et Marie Curie.  Her research topics include numerical analysis and partial differential equations.Vivette Girault is Volunteer Collaborator at Université Pierre et Marie Curie.  Her research topics include numerical analysis and partial differential equations.Kumbakonam Rajagopal is Distinguished Professor at Texas A&M University.  His research interests include continuum mechanics and its applications non non-linear materials.

• Introduction.- Mechanics.- Mathematical Preliminaries.- Classical Non-Newtonian Fluids.- Grade-two Fluids: Some Theoretical Results.- Short Survey on the Theory of Grade-three Fluids.- Appendix.

“This is a very well written and organized text. It contains all the essential background as well as state-of-the-art summary of the current knowledge in the field. It can be used as a textbook as well a handy reference book and starting point for advanced research.” (Tomás̃ Bodnár, Mathematical Reviews, June, 2017)