Pylyp Cherevan

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math.AP2025

Log-free estimate of the full nonlinearity in the three-dimensional Navier-Stokes equations outside the diagonal regime

Pylyp Cherevan

We investigate the contribution of the full nonlinearity outside the narrow diagonal zone in the three-dimensional Navier-Stokes equations. We consider the off-diagonal components,…

math.AP2025

A log-free estimate for the diagonal paraproduct high $\times$ high $\to$ low in the 3D Navier-Stokes equation

Pylyp Cherevan

We consider the diagonal paraproduct arising in the nonlinearity $(u \cdot \nabla) u$ for the three-dimensional Navier-Stokes equations. On scale-critical windows and in the range $…

math.AP2025

Log-free estimate for the resonant paraproduct in the 3D Navier-Stokes equations

Pylyp Cherevan

We consider the resonant paraproduct (high-high $\to$ low regime) in the nonlinearity $(u \cdot \nabla) u$ for the three-dimensional Navier-Stokes equations. For sufficiently smooth,…

Log-free estimate of the full nonlinearity in the three-dimensional Navier-Stokes equations outside the diagonal regime

A log-free estimate for the diagonal paraproduct high × high → low in the 3D Navier-Stokes equation

Log-free estimate for the resonant paraproduct in the 3D Navier-Stokes equations

A log-free estimate for the diagonal paraproduct high $\times$ high $\to$ low in the 3D Navier-Stokes equation