Stability of three-dimensional stochastic Navier-Stokes equation with Markov switching
Abstract
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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