Global well-posedness holds for logarithmically hyperdissipative 3D Navier-Stokes with high-mode Lie-transport noise via probabilistic effective dissipation from a scaling limit.
An elementary approach to mixing and dissipation enhancement by transport noise.arXiv preprint arXiv:2402.07484, 2024
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Alternating Rossby-Haurwitz flows on the sphere achieve exponential mixing of mean-free scalars and optimal enhanced dissipation rates in the advection-diffusion equation.
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Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations
Global well-posedness holds for logarithmically hyperdissipative 3D Navier-Stokes with high-mode Lie-transport noise via probabilistic effective dissipation from a scaling limit.