Equations for Viscoelastic Fluids

Xianpeng Hu (), Fang-Hua Lin () and Chun Liu ()
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Xianpeng Hu: City University of Hong Kong, Department of Mathematics
Fang-Hua Lin: New York University, Department of Mathematics, Courant Institute of Mathematical Sciences
Chun Liu: Pennsylvania State University, Department of Mathematics

Chapter 22 in Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, 2018, pp 1045-1073 from Springer

Abstract: 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.

Keywords: Incompressible Viscoelasticity; Large Initial Data; FENE Models; Finitely Extensible Nonlinear Elastic (FENE); Incompressible Magnetohydrodynamics (IMHD) (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-13344-7_25

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

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