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.
Preface.- Acknowledgements.- I Incompressible Multipolar Fluid Dynamics.- II Plane Poiseuille Flow of Incompressible Bipolar Viscous Fluids.- III Incompressible Bipolar Fluid Dynamics: Examples of Other Flows and Geometries.- IV General Existence and Uniqueness Theorems for Incompressible Bipolar and non-Newtonian Fluid Flow.- V Attractors for Incompressible Bipolar and non-Newtonian Flows: Bounded Domains and Space Periodic Problems.- VI Inertial Manifolds, Orbit Squeezing, and Attractors for Bipolar Flow in Unbounded Channels.- A.I Notation, Definitions, and Results from Analysis.- A.II Estimates Involving the Rate of Deformation Tensor.- A.III The Spectral Gap Condition.- Bibliography.- Index.
From the book reviews: "The authors present some results obtained on incompressible nonlinear bipolar fluid flows. The book contains six chapters and three appendices. ... This book will be a valuable resource for applied mathematicians, fluid dynamicists and engineers with an interest in non-Newtonian fluid mechanics." (Valeriu Al. Sava, zbMATH, Vol. 1291, 2014)
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