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- W2017352803 abstract "We show that the Navier–Stokes equation in $mathcal{O}subset R^d$, $d=2,3$, around an unstable equilibrium solution is exponentially stabilizable in probability by an internal noise controller $V(t,xi)=sum_{i=1}^{N}V_i(t)psi_i(xi)dot{beta}_i(t)$, $xiinmathcal{O}$, where ${beta_i}_{i=1}^N$ are independent Brownian motions and ${psi_i}_{i=1}^N$ is a system of functions on $mathcal{O}$ with support in an arbitrary open subset $mathcal{O}_0subsetmathcal{O}$. The stochastic control input ${V_i}_{i=1}^N$ is found in feedback form. The corresponding result for the linearized Navier–Stokes equation was established in [E. Barbu, The internal stabilization by noise of the linearized Navier–Stokes equation, ESAIM Control Optim. Calc. Var., to appear]." @default.
- W2017352803 created "2016-06-24" @default.
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- W2017352803 date "2011-01-01" @default.
- W2017352803 modified "2023-09-25" @default.
- W2017352803 title "Internal Stabilization by Noise of the Navier–Stokes Equation" @default.
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- W2017352803 doi "https://doi.org/10.1137/09077607x" @default.
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