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arXiv · 2111.12931

Enhanced dissipation for stochastic Navier-Stokes equations with transport noise

Dejun Luo
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Abstract

The phenomenon of dissipation enhancement by transport noise is shown for stochastic 2D Navier-Stokes equations in velocity form. In the 3D case, suppression of blow-up is proved for stochastic Navier-Stokes equations in vorticity form; in particular, quantitative estimate allows us to choose the parameters of noise, uniformly in initial vorticity bounded in $L^2$-norm, so that global solutions exist with a large probability sufficiently close to 1.

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Dejun Luo. 2021-11-25. Enhanced dissipation for stochastic Navier-Stokes equations with transport noise. https://doi.org/10.1007/s10884-023-10307-w

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