Mechanics and Mathematics of Fluids of the Differential Type - D. Cioranescu, V. Girault, K.R. Rajagopal

Mechanics and Mathematics of Fluids of the Differential Type

Buch | Softcover
VIII, 394 Seiten
2018 | 1. Softcover reprint of the original 1st ed. 2016
Springer International Publishing (Verlag)
978-3-319-81867-2 (ISBN)
117,69 inkl. MwSt

This text is the first of its kind to bring together both the thermomechanics and mathematical analysis of Reiner-Rivlin fluids and fluids of grades 2 and 3 in a single book. Each part of the book can be considered as being self-contained. The first part of the book is devoted to a description of the mechanics, thermodynamics, and stability of flows of fluids of grade 2 and grade 3.  The second part of the book is dedicated to the development of rigorous mathematical results concerning the equations governing the motion of a family of fluids of the differential type.  Finally, the proofs of a number of useful results are collected in an appendix.

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." (Tomás Bodnár, Mathematical Reviews, June, 2017)

“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)

Erscheinungsdatum
Reihe/Serie Advances in Mechanics and Mathematics
Zusatzinfo VIII, 394 p. 16 illus.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Gewicht 6088 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Naturwissenschaften Physik / Astronomie Mechanik
Naturwissenschaften Physik / Astronomie Strömungsmechanik
Naturwissenschaften Physik / Astronomie Theoretische Physik
Schlagworte fluid- and aerodynamics • Fluids of the Differential Type • Grade 2 Fluids • Grade 3 Fluids • Partial differential equations • Second Law of Thermodynamic • variational inequalities • viscoelasticity
ISBN-10 3-319-81867-8 / 3319818678
ISBN-13 978-3-319-81867-2 / 9783319818672
Zustand Neuware
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