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

Alexey Cheskidov; Roman Shvydkoy

arxiv: 1212.4207 · v1 · pith:MNWJTW65new · submitted 2012-12-18 · 🧮 math.AP

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

Alexey Cheskidov , Roman Shvydkoy This is my paper

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keywords criticalequationslargestnavier-stokesarbitrarilydatadiscontinuousexistence

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

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