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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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
November 2021
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| In: |
Mathematics and computers in simulation
Year: 2021, Volume: 189, Pages: 5-20 |
| DOI: | 10.1016/j.matcom.2020.05.009 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1016/j.matcom.2020.05.009 Verlag, lizenzpflichtig, Volltext: https://www.sciencedirect.com/science/article/pii/S0378475420301683 
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| Author Notes: | Mark Dostalík, Vít Průša, Judith Stein |
| Summary: | 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. |
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| Item Description: | Gesehen am 17.06.2022 Available online 16 May 2020, Version of Record 9 August 2021 |
| Physical Description: | Online Resource |
| DOI: | 10.1016/j.matcom.2020.05.009 |