Equations for viscoelastic fluids

Xianpeng Hu, Fang Hua Lin, Chun Liu

Research output: Chapter in Book/Report/Conference proceedingChapter

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 languageEnglish (US)
Title of host publicationHandbook of Mathematical Analysis in Mechanics of Viscous Fluids
PublisherSpringer International Publishing
Pages1045-1073
Number of pages29
ISBN (Electronic)9783319133447
ISBN (Print)9783319133430
DOIs
StatePublished - Apr 19 2018

Fingerprint

Complex Fluids
Viscoelastic Fluid
Fluids
fluids
Variational Approach
Fluid Model
Classical Solution
Incompressible Fluid
Weak Solution
Hydrodynamics
hydrodynamics
Framework

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Physics and Astronomy(all)
  • Engineering(all)

Cite this

Hu, X., Lin, F. H., & Liu, C. (2018). Equations for viscoelastic fluids. In Handbook of Mathematical Analysis in Mechanics of Viscous Fluids (pp. 1045-1073). Springer International Publishing. https://doi.org/10.1007/978-3-319-13344-7_25
Hu, Xianpeng ; Lin, Fang Hua ; Liu, Chun. / Equations for viscoelastic fluids. Handbook of Mathematical Analysis in Mechanics of Viscous Fluids. Springer International Publishing, 2018. pp. 1045-1073
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Hu, X, Lin, FH & Liu, C 2018, Equations for viscoelastic fluids. in Handbook of Mathematical Analysis in Mechanics of Viscous Fluids. Springer International Publishing, pp. 1045-1073. https://doi.org/10.1007/978-3-319-13344-7_25

Equations for viscoelastic fluids. / Hu, Xianpeng; Lin, Fang Hua; Liu, Chun.

Handbook of Mathematical Analysis in Mechanics of Viscous Fluids. Springer International Publishing, 2018. p. 1045-1073.

Research output: Chapter in Book/Report/Conference proceedingChapter

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Hu X, Lin FH, Liu C. Equations for viscoelastic fluids. In Handbook of Mathematical Analysis in Mechanics of Viscous Fluids. Springer International Publishing. 2018. p. 1045-1073 https://doi.org/10.1007/978-3-319-13344-7_25