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Erschienen in:
Derivation of Equations for Continuum Mechanics and Thermodynamics of Fluids Kapitel lesen Erstes Kapitel lesen

2018 | OriginalPaper | Buchkapitel

22. Equations for Viscoelastic Fluids

verfasst von : Xianpeng Hu, Fang-Hua Lin, Chun Liu

Erschienen in: Handbook of Mathematical Analysis in Mechanics of Viscous Fluids

Verlag: Springer International Publishing

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Abstract

This chapter aims at the mathematical theory of incompressible viscoelastic fluids and related complex fluid models. An energetic variational approach is employed to derive the hydrodynamics of complex fluids which focuses on the competition and coupling between different physical effects. Such a framework also provides guides to the corresponding analysis. This chapter includes those analytical results for both classical solutions with small initial data and weak solutions with large initial data for these systems.

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Vorheriges Kapitel Modeling of Two-Phase Flows With and Without Phase Transitions
Nächstes Kapitel Modeling and Analysis of the Ericksen-Leslie Equations for Nematic Liquid Crystal Flows
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Metadaten
Titel
Equations for Viscoelastic Fluids
verfasst von
Xianpeng Hu
Fang-Hua Lin
Chun Liu
Copyright-Jahr
2018
Buch
Handbook of Mathematical Analysis in Mechanics of Viscous Fluids

Print ISBN: 978-3-319-13343-0

Electronic ISBN: 978-3-319-13344-7

Copyright-Jahr: 2018

DOI
https://doi.org/10.1007/978-3-319-13344-7_25