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Space-time localized nonuniqueness for the inhomogeneous Navier-Stokes equations
We prove space-time localized nonuniqueness for the inhomogeneous incompressible Navier--Stokes equations on the three-dimensional torus. For every $01$ sufficiently close to one, we construct weak solutions with strictly positive density in $C_tL^p$ and velocity in $C_tH^s$. These so
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