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

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.

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

References in corpus (1)

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

Cited by in corpus (3)

• Optimal time-decay estimates for an Oldroyd-B model with zero viscosity
• Unconditional finite amplitude stability of a viscoelastic fluid in a mechanically isolated vessel with spatially non-uniform wall temperature
• On solutions for a generalized Navier-Stokes-Fourier system fulfilling entropy equality