Splitting and Merging of Stagnation Points of Solutions to the 2D Navier-Stokes Equations

Isidro Benaroya, Alberto Enciso, Daniel Peralta-Salas

Published: 2025/10/1

Abstract

We construct solutions to the Navier-Stokes equations on $\mathbf{R}^2$ with an arbitrary number of stagnation points which merge and split along trajectories that can be prescribed freely, up to a small deformation.

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