Remarks on the three-dimensional Navier-Stokes equations with Lions' exponent forced by space-time white noise
Abstract
We study the three-dimensional Navier-Stokes equations forced by space-time white noise and diffused via the fractional Laplacian with Lions' exponent so that it is precisely the energy-critical case. We prove its global solution theory following the approach of Hairer and Rosati (2024, Annals of PDE, 10, pp. 1--46).
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