2016arXiv (Cornell University)Open access

Removing discretely self-similar singularities for the 3D Navier-Stokes equations

Dongho Chae, Joerg Wolf

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Abstract

We study the scenario of discretely self-similar blow-up for Navier-Stokes equations. We prove that at the possible blow-up time such solutions only one point singularity. In case of the scaling parameter $ λ$ near $ 1$ we remove the singularity.

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What this paper is about

We study the scenario of discretely self-similar blow-up for Navier-Stokes equations. We prove that at the possible blow-up time such solutions only one point singularity. In case of the scaling parameter $ λ$ near $ 1$ we remove the singularity.

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Available abstract

We study the scenario of discretely self-similar blow-up for Navier-Stokes equations. We prove that at the possible blow-up time such solutions only one point singularity. In case of the scaling parameter $ λ$ near $ 1$ we remove the singularity.

Key concepts: Singularity, Gravitational singularity, Scaling, Navier–Stokes equations, Point (geometry), Lambda, Mathematics, Mathematical analysis

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