论文标题
瑞利 - 泰勒的不稳定性，用于具有Navier-Slip边界条件的非均匀不可压缩流体
Rayleigh-Taylor instability for nonhomogeneous incompressible fluids with Navier-slip boundary conditions
论文作者
论文摘要
本文与雷利 - 泰勒的不稳定性有关，用于非均匀不可压缩的Navier-Stokes方程，在无限平板中的稳态周围具有Navier-Slip边界条件，其中Navier-Slip系数没有定义的符号，并且平板是水平周期性的。在[18]的启发下，我们将结果从Dirichlet边界条件扩展到Navier-Slip边界条件。我们的结果表明，“较重的密度随着高度的增加”仍然在Navier-Slip边界条件下的不稳定性中起关键作用。
This paper is concerned with the Rayleigh-Taylor instability for the nonhomogeneous incompressible Navier-Stokes equations with Navier-slip boundary conditions around a steady-state in an infinite slab, where the Navier-slip coefficients do not have defined sign and the slab is horizontally periodic. Motivated by [18], we extend the result from Dirichlet boundary condition to Navier-slip boundary conditions. Our results indicate the factor that "heavier density with increasing height" still plays a key role in the instability under Navier-slip boundary conditions.
