Equations for Viscoelastic Fluids

Research output: Chapters, Conference Papers, Creative and Literary Works (RGC: 12, 32, 41, 45)12_Chapter in an edited book (Author)peer-review

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Detail(s)

Original languageEnglish
Title of host publicationHandbook of Mathematical Analysis in Mechanics of Viscous Fluids
EditorsYoshikazu Giga, Antonin Novotny
PublisherSpringer International Publishing
Chapter22
Pages1045-1073
ISBN (Electronic)9783319101514, 9783319133447
ISBN (Print)9783319133430
Publication statusPublished - 2018

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.

Citation Format(s)

Equations for Viscoelastic Fluids. / Hu, Xianpeng; Lin, Fang-Hua; Liu, Chun.

Handbook of Mathematical Analysis in Mechanics of Viscous Fluids. ed. / Yoshikazu Giga; Antonin Novotny. Springer International Publishing, 2018. p. 1045-1073.

Research output: Chapters, Conference Papers, Creative and Literary Works (RGC: 12, 32, 41, 45)12_Chapter in an edited book (Author)peer-review