关于分层流体线性瑞利 - 泰勒不稳定性中弹性和磁场的影响。
On effects of elasticity and magnetic fields in the linear Rayleigh-Taylor instability of stratified fluids.
作者信息
Chen Yuping, Wang Weiwei, Zhao Youyi
机构信息
1College of Mathematics and Computer Science, Fuzhou University, Fuzhou, China.
Key Laboratory of Operations Research and Control, Universities in Fujian, Fuzhou, China.
出版信息
J Inequal Appl. 2018;2018(1):203. doi: 10.1186/s13660-018-1796-6. Epub 2018 Aug 2.
It is well known that there exists a threshold such that the linearized stratified viscoelastic Rayleigh-Taylor problem is unstable for the elasticity coefficient satisfying . In this paper, we further prove that if , then there exists an unstable solution to the linearized stratified viscoelastic Rayleigh-Taylor problem with a largest growth rate. Moreover, the largest growth rate decreases from a positive constant to 0 as increases from 0 to . In addition, we further extend the obtained results in the linearized stratified viscoelastic Rayleigh-Taylor problem to the linearized stratified magnetic Rayleigh-Taylor problem.
众所周知，存在一个阈值，使得对于满足 的弹性系数，线性化分层粘弹性瑞利 - 泰勒问题是不稳定的。在本文中，我们进一步证明，如果 ，那么线性化分层粘弹性瑞利 - 泰勒问题存在一个具有最大增长率的不稳定解。此外，当 从0增加到 时，最大增长率从一个正常数减小到0。另外，我们将线性化分层粘弹性瑞利 - 泰勒问题中得到的结果进一步推广到线性化分层磁瑞利 - 泰勒问题。
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