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math.AP2020★ 3 cited
Non-uniqueness in law for two-dimensional Navier-Stokes equations with diffusion weaker than a full Laplacian
Kazuo Yamazaki
We study the two-dimensional Navier-Stokes equations forced by random noise with a diffusive term generalized via a fractional Laplacian that has a positive exponent strictly less…
math.AP2020★ 23 cited
Remarks on the non-uniqueness in law of the Navier-Stokes equations up to the J.-L. Lions' exponent
Kazuo Yamazaki
Lions (1959, Bull. Soc. Math. France, \textbf{87}, 245--273) introduced the Navier-Stokes equations with a viscous diffusion in the form of a fractional Laplacian; subsequently, he…