On hydrodynamics of viscoelastic fluids

On hydrodynamics of viscoelastic fluids

In this paper, we study a hydrodynamic system describing fluids with viscoelastic properties. After a brief examination of the relations between several models, we shall concentrate on a few analytical issues concerning them. In particular, we establish local existence and global existence (with sma...

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Veröffentlicht in:Communications on pure and applied mathematics 2005-11, Vol.58 (11), p.1437-1471
Hauptverfasser: Lin, Fang-Hua, Liu, Chun, Zhang, Ping
Format: Artikel
Sprache:eng
Schlagworte:
Computational methods in fluid dynamics
Damping
Exact sciences and technology
Fluid dynamics
Fluids
Fundamental areas of phenomenology (including applications)
Mathematical analysis
Mathematics
Partial differential equations
Physics
Sciences and techniques of general use
Viscoelasticity
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Zusammenfassung:In this paper, we study a hydrodynamic system describing fluids with viscoelastic properties. After a brief examination of the relations between several models, we shall concentrate on a few analytical issues concerning them. In particular, we establish local existence and global existence (with small initial data) of classical solutions for an Oldroyd system without an artificially postulated damping mechanism. © 2005 Wiley Periodicals, Inc.
ISSN:0010-3640
1097-0312
DOI:10.1002/cpa.20074