English

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

Probability 2026-01-07 v2 Analysis of PDEs

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 pp-th moment exponential stability and the almost surely exponential stability of the solution to the equation.

Keywords

Cite

@article{arxiv.2203.15971,
  title  = {Stability of three-dimensional stochastic Navier-Stokes equation with Markov switching},
  author = {Po-Han Hsu},
  journal= {arXiv preprint arXiv:2203.15971},
  year   = {2026}
}

Comments

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