三维随机Navier-Stokes方程的稳定性研究：带有马尔可夫切换
Stability of three-dimensional stochastic Navier-Stokes equation with Markov switching
AI总结：
本文研究了具有马尔可夫切换的三维随机Navier-Stokes方程的p阶矩和几乎必然指数稳定性。
摘要：
在三维随机Navier-Stokes方程的噪声项中引入一个右连续的马尔可夫链，我们将此类随机系统称为具有马尔可夫切换的随机Navier-Stokes方程。本文研究了该方程解的p阶矩指数稳定性和几乎必然指数稳定性。
英文摘要：
A right continuous Markov chain is introduced in the noise terms of the three-dimensional stochastic Navier-Stokes equation, and we call such stochastic system as stochastic Navier-Stokes equation with Markov switching. In the present article, we study the $p$-th moment exponential stability and the almost surely exponential stability of the solution to the equation.
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