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…
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…
Analyticity of Lagrangian trajectories for well posed inviscid incompressible fluid models
Peter Constantin, Vlad Vicol, Jiahong Wu
We discuss general incompressible inviscid models, including the Euler equations, the surface quasi-geostrophic equation, incompressible porous medium equation, and Boussinesq equa…