Incompressible Bipolar and Non-Newtonian Viscous Fluid Flow

The theory of incompressible multipolar viscous fluids is a non-Newtonian model of fluid flow, which incorporates nonlinear viscosity, as well as higher order velocity gradients, and is based on scientific first principles. The Navier-Stokes model of

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Hamid Bellout Frederick Bloom

Incompressible Bipolar and Non-Newtonian Viscous Fluid Flow

Advances in Mathematical Fluid Mechanics

For further volumes: http://www.springer.com/series/5032

Advances in Mathematical Fluid Mechanics Series Editors Giovanni P. Galdi, Pittsburgh, USA John G. Heywood, Vancouver, Canada Rolf Rannacher, Heidelberg, Germany

Advances in Mathematical Fluid Mechanics is a forum for the publication of high quality monographs, or collections of works, on the mathematical theory of fluid mechanics, with special regards to the Navier-Stokes equations. Its mathematical aims and scope are similar to those of the Journal of Mathematical Fluid Mechanics. In particular, mathematical aspects of computational methods and of applications to science and engineering are welcome as an important part of the theory. So also are works in related areas of mathematics that have a direct bearing on fluid mechanics. The monographs and collections of works published here may be written in a more expository style than is usual for research journals, with the intention of reaching a wide audience. Collections of review articles will also be sought from time to time.

Hamid Bellout



Frederick Bloom

Incompressible Bipolar and Non-Newtonian Viscous Fluid Flow

Hamid Bellout Frederick Bloom Department of Mathematical Sciences Northern Illinois University West Lincoln Hwy. 1425 DeKalb Illinois USA

ISBN 978-3-319-00890-5 ISBN 978-3-319-00891-2 (eBook) DOI 10.1007/978-3-319-00891-2 Springer Cham Heidelberg New York Dordrecht London Library of Congress Control Number: 2013952966 Mathematics Subject Classification (2010): 76A05, 35K52 c Springer International Publishing Switzerland 2014  This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations