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Incompressible Bipolar and Non-Newtonian Viscous Fluid Flow pp 435–513Cite as

Birkhäuser

Inertial Manifolds, Orbit Squeezing, and Attractors for Bipolar Flow in Unbounded Channels

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Part of the book series: Advances in Mathematical Fluid Mechanics ((AMFM))

Abstract

In Chap. 5 we discussed, in considerable detail, the existence of maximal compact global attractors for bipolar and non-Newtonian flows associated with either (5.2a,b), (5.3a), (5.4), \(\Omega \subseteq {R}^{n}\), n = 2, 3, a bounded domain, or (5.2a,b), (5.3b), (5.4) where \(\Omega = {[0,L]}^{n}\), n = 2, 3, L> 0.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Northern Illinois University, West Lincoln Hwy. 1425, DeKalb, Illinois, USA

    Hamid Bellout & Frederick Bloom

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  1. Hamid Bellout
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  2. Frederick Bloom
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Bellout, H., Bloom, F. (2014). Inertial Manifolds, Orbit Squeezing, and Attractors for Bipolar Flow in Unbounded Channels. In: Incompressible Bipolar and Non-Newtonian Viscous Fluid Flow. Advances in Mathematical Fluid Mechanics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-00891-2_6

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