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2018 | OriginalPaper | Chapter

22. Equations for Viscoelastic Fluids

Authors : Xianpeng Hu, Fang-Hua Lin, Chun Liu

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

Publisher: 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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Metadata
Title
Equations for Viscoelastic Fluids
Authors
Xianpeng Hu
Fang-Hua Lin
Chun Liu
Copyright Year
2018
DOI
https://doi.org/10.1007/978-3-319-13344-7_25

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