Stabilizing effect of elasticity on the motion of viscoelastic/elastic fluids

Fei Jiang; Fei Jiang

doi:10.3934/era.2021071

Electronic Research Archive

2021, Volume 29, Issue 6: 4051-4074. doi: 10.3934/era.2021071

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Stabilizing effect of elasticity on the motion of viscoelastic/elastic fluids

Fei Jiang ^,

College of Mathematics and Computer Science, Fuzhou University, Key Laboratory of Operations Research and Control of Universities in Fujian, Fuzhou 350108, China

Received: 01 June 2021 Revised: 01 July 2021 Published: 07 September 2021
Primary: 35B10, 35Q35; Secondary: 76E06, 76E17

It is well-known that viscoelasticity is a material property that exhibits both viscous and elastic characteristics with deformation. In particular, an elastic fluid strains when it is stretched and quickly returns to its original state once the stress is removed. In this review, we first introduce some mathematical results, which exhibit the stabilizing effect of elasticity on the motion of viscoelastic fluids. Then we further briefly introduce similar stabilizing effect in the elastic fluids.
- Viscoelastic Rayleigh–Taylor problem,
- viscoelastic Rayleigh–Bénard problem,
- viscoelastic fluids,
- elastic fluids
Citation: Fei Jiang. Stabilizing effect of elasticity on the motion of viscoelastic/elastic fluids[J]. Electronic Research Archive, 2021, 29(6): 4051-4074. doi: 10.3934/era.2021071

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Abstract

It is well-known that viscoelasticity is a material property that exhibits both viscous and elastic characteristics with deformation. In particular, an elastic fluid strains when it is stretched and quickly returns to its original state once the stress is removed. In this review, we first introduce some mathematical results, which exhibit the stabilizing effect of elasticity on the motion of viscoelastic fluids. Then we further briefly introduce similar stabilizing effect in the elastic fluids.

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