Equations for viscoelastic fluids

Xianpeng Hu; Fang Hua Lin; Chun Liu

doi:10.1007/978-3-319-13344-7_25

Equations for viscoelastic fluids

Xianpeng Hu, Fang Hua Lin, Chun Liu

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

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.

Original language	English (US)
Title of host publication	Handbook of Mathematical Analysis in Mechanics of Viscous Fluids
Publisher	Springer International Publishing
Pages	1045-1073
Number of pages	29
ISBN (Electronic)	9783319133447
ISBN (Print)	9783319133430
DOIs	https://doi.org/10.1007/978-3-319-13344-7_25
State	Published - Apr 19 2018

ASJC Scopus subject areas

General Mathematics
General Physics and Astronomy
General Engineering

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10.1007/978-3-319-13344-7_25

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Equations for viscoelastic fluids

Abstract

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