Ill-posedness for subcritical hyperdissipative Navier-Stokes equations in the largest critical spaces

Alexey Cheskidov; Roman Shvydkoy

doi:10.1063/1.4765332

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arXiv · 1212.4207

Ill-posedness for subcritical hyperdissipative Navier-Stokes equations in the largest critical spaces

Alexey Cheskidov·Roman Shvydkoy

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Abstract

We study the incompressible Navier-Stokes equations with a fractional Laplacian and prove the existence of discontinuous Leray-Hopf solutions in the largest critical space with arbitrarily small initial data.

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Alexey Cheskidov, Roman Shvydkoy. 2012-12-18. Ill-posedness for subcritical hyperdissipative Navier-Stokes equations in the largest critical spaces. https://doi.org/10.1063/1.4765332

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