Abstract
<p style='text-indent:20px;'>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.</p>
Publisher
American Institute of Mathematical Sciences (AIMS)
Reference80 articles.
1. H. Bénard, Les tourbillons cellulaires dans une nappe liquide, Revue Générale des Sciences Pures et Appliquées, 45 (1900), 1261–71 and 1309–28.
2. P. K. Bhatia, J. M. Steiner.Convection in a viscoelastic fluid layer in hydromagnetics, Physics Letters A, 37 (1971), 419-420.
3. P. K. Bhatia, J. M. Steiner.Thermal instability in a viscoelastic fluid layer in hydromagnetics, J. Math. Anal. Appl., 41 (1973), 271-283.
4. G. Boffetta, A. Mazzino, S. Musacchio, L. Vozella.Rayleigh–Taylor instability in a viscoelastic binary fluid, J. Fluid Mech., 643 (2010), 127-136.
5. P. C. Bollada, T. N. Phillips.On the mathematical modelling of a compressible viscoelastic fluid, Arch. Rational Mech. Anal., 205 (2012), 1-26.
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献