For a three-mode reduced NLS model with stochastic forcing and damping at the boundary modes, the authors construct a unique invariant probability measure with polynomial convergence to the non-equilibrium steady state.
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Non-equilibrium steady state for a three-mode energy cascade model
For a three-mode reduced NLS model with stochastic forcing and damping at the boundary modes, the authors construct a unique invariant probability measure with polynomial convergence to the non-equilibrium steady state.