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math.AP2018★ 3 cited
Wild solutions of the Navier-Stokes equations whose singular sets in time have Hausdorff dimension strictly less than 1
Tristan Buckmaster, Maria Colombo, Vlad Vicol
We prove non-uniqueness for a class of weak solutions to the Navier-Stokes equations which have bounded kinetic energy, integrable vorticity, and are smooth outside a fractal set o…
math.AP2018
The Surface Quasi-Geostrophic Equation with Random Diffusion
Tristan Buckmaster, Andrea Nahmod, Gigliola Staffilani +1
Consider the surface quasi-geostrophic equation with random diffusion, white in time. We show global existence and uniqueness in high probability for the associated Cauchy problem…