Some remark on the existence of infinitely many nonphysical solutions to the incompressible Navier-Stokes equations

Stefano Scrobogna

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arXiv · 1801.05193

Some remark on the existence of infinitely many nonphysical solutions to the incompressible Navier-Stokes equations

Stefano Scrobogna

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Abstract

We prove that there exist infinitely many distributional solutions with infinite kinetic energy to the incompressible Navier-Stokes equations in $ \mathbb{R}^2 $. We prove as well the existence of infinitely many distributional solutions for Burgers equation in $ \mathbb{R} $.

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Stefano Scrobogna. 2018-01-16. Some remark on the existence of infinitely many nonphysical solutions to the incompressible Navier-Stokes equations. https://arxiv.org/abs/1801.05193

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