Unconditional finite amplitude stability of a viscoelastic fluid in a mechanically isolated vessel with spatially non-uniform wall temperature

We investigate finite amplitude stability of spatially inhomogeneous steady state of an incompressible viscoelastic fluid which occupies a mechanically isolated vessel with walls kept at spatially non-uniform temperature. For a wide class of incompressible viscoelastic models including the Oldroyd-B...

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Hauptverfasser: Dostalík, Mark (VerfasserIn) , Průša, Vít (VerfasserIn) , Stein, Judith (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: November 2021
In: Mathematics and computers in simulation
Year: 2021, Jahrgang: 189, Pages: 5-20
DOI:10.1016/j.matcom.2020.05.009
Online-Zugang:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1016/j.matcom.2020.05.009
Verlag, lizenzpflichtig, Volltext: https://www.sciencedirect.com/science/article/pii/S0378475420301683
Volltext
Verfasserangaben:Mark Dostalík, Vít Průša, Judith Stein

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520 |a We investigate finite amplitude stability of spatially inhomogeneous steady state of an incompressible viscoelastic fluid which occupies a mechanically isolated vessel with walls kept at spatially non-uniform temperature. For a wide class of incompressible viscoelastic models including the Oldroyd-B model, the Giesekus model, the FENE-P model, the Johnson-Segalman model, and the Phan-Thien-Tanner model we prove that the steady state is stable subject to any finite perturbation. 
650 4 |a Finite amplitude stability 
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