On the stability of Rayleigh–Taylor problem for stratified rotating viscoelastic fluids

• Main Authors: Yi Jiang, Xianjuan Li, Youyi Zhao
• Format: Article
• Language: English
• Published: SpringerOpen 2018-08-01
• Series: Boundary Value Problems
• Subjects: Viscoelastic fluid; Rayleigh–Taylor instability; Horizontally periodic domain; Rotation
• Online Access: http://link.springer.com/article/10.1186/s13661-018-1041-8

Abstract We investigate the stability of Rayleigh–Taylor (RT) problem of the stratified incompressible viscoelastic fluids under the rotation and the gravity in a horizontal periodic domain, in which the rotation axis is parallel to the direction of gravity, the two fluids are immiscible, and the heavier fluid lies on the lighter one. We establish a stability condition for the RT problem. Moreover, we prove that, under the stability condition, the RT problem enjoys a unique strong solution, which exponentially decays with respect to time. In addition, we note that the stability condition is independent of rotation angular velocity, and the rotation has no destabilizing effect.