38 citations · 72 across the 14 of their papers we have counts for
3 papers · 1 filter
Vorticity measures and the inviscid limit
Peter Constantin, Milton Lopes Filho, Helena Nussenzveig Lopes +1
We consider a sequence of Leray-Hopf weak solutions of the 2D Navier-Stokes equations on a bounded domain, in the vanishing viscosity limit. We provide sufficient conditions on the…
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…
Well-posedness of the hydrostatic Navier-Stokes equations
David Gerard-Varet, Nader Masmoudi, Vlad Vicol
We address the local well-posedness of the hydrostatic Navier-Stokes equations. These equations, sometimes called reduced Navier-Stokes/Prandtl, appear as a formal limit of the Nav…