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On the absence of blow-up in the 3D Navier-Stokes equations with transport noise
Establishing the global-in-time smoothness of solutions to the 3D Navier-Stokes equations (NSEs) with large initial data remains a long-standing open problem. In this paper, we prove that the 3D NSEs driven by a suitably chosen transport noise -- a physically motivated stochastic perturbation -- adm
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