142 citations · 1.3k across the 62 of their papers we have counts for
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On the global regularity for the supercritical SQG equation
Michele Coti Zelati, Vlad Vicol
We consider the initial value problem for the fractionally dissipative quasi-geostrophic equation \[ \partial_t θ+ \mathcal{R}^\perp θ\cdot \nabla θ+ Λ^γθ= 0, \qquad θ(\cdot,0) =θ_…
Enhanced dissipation and inviscid damping in the inviscid limit of the Navier-Stokes equations near the 2D Couette flow
Jacob Bedrossian, Nader Masmoudi, Vlad Vicol
In this work we study the long time, inviscid limit of the 2D Navier-Stokes equations near the periodic Couette flow, and in particular, we confirm at the nonlinear level the quali…
On a transport equation with nonlocal drift
Luis Silvestre, Vlad Vicol
In \cite{CordobaCordobaFontelos05}, Córdoba, Córdoba, and Fontelos proved that for some initial data, the following nonlocal-drift variant of the 1D Burgers equation does not have…
Holder Continuous Solutions of Active Scalar Equations
Philip Isett, Vlad Vicol
We consider active scalar equations , where is a divergence-free velocity field, and is a Fourier multiplier operator with s…
Inviscid Limits for a Stochastically Forced Shell Model of Turbulent Flow
Susan Friedlander, Nathan Glatt-Holtz, Vlad Vicol
We establish the anomalous mean dissipation rate of energy in the inviscid limit for a stochastic shell model of turbulent fluid flow. The proof relies on viscosity independent bou…
On the inviscid limit of the Navier-Stokes equations
Peter Constantin, Igor Kukavica, Vlad Vicol
We consider the convergence in the norm, uniformly in time, of the Navier-Stokes equations with Dirichlet boundary conditions to the Euler equations with slip boundary condit…