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20232026
most citedA simple proof of linear instability of shear flows with application to vortex sheets

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math.AP2025

A convex integration scheme for the continuity equation past the Sobolev embedding threshold

Maria Colombo, Roberto Colombo, Anuj Kumar

We introduce a convex integration scheme for the continuity equation in the context of the Di Perna-Lions theory that allows to build incompressible vector fields in $C_{t}W^{1,p}_…

physics.flu-dyn2025

Statistical Estimates for 2D stochastic Navier-Stokes Equations

Anuj Kumar, Ali Pakzad

The statistical features of homogeneous, isotropic, two-dimensional stochastic turbulence are discussed. We derive some rigorous bounds for the mean value of the bulk energy dissip…