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

2005.00852May 2, 2020This work extends our previous work "Unconditional finite amplitude stability of a fluid in a mechanically isolated vessel with spatially non-uniform wall temperature" (arXiv:1905.09394) to the case of viscoelastic rate-type fluids

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

Mark Dostalík, Vít Průša, Judith Stein

Analysis of PDEs Dynamical Systems Fluid Dynamics

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Abstract

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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The paper addresses: 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.

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Author comment: This work extends our previous work "Unconditional finite amplitude stability of a fluid in a mechanically isolated vessel with spatially non-uniform wall temperature" (arXiv:1905.09394) to the case of viscoelastic rate-type fluids