Enhanced dissipation for stochastic Navier-Stokes equations with transport noise

DOI10.1007/S10884-023-10307-WarXiv2111.12931MaRDI QIDQ6383928

Publication date: 25 November 2021

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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