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arxiv: 1901.02318 · v1 · pith:653NZSETnew · submitted 2019-01-08 · 🧮 math.AP · math.DG

On turbulence and geometry: from Nash to Onsager

Camillo De Lellis , L\'aszl\'o Sz\'ekelyhidi Jr This is my paper
classification 🧮 math.AP math.DG
keywords geometrynashonsagerarticleconjecturedifferentialdynamicsembeddings
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This article is a short nontechnical survey of recent progresses in fluid dynamics and differential geometry, relating a conjecture of Lars Onsager to the work of Nash on isometric embeddings.

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    math.AP 2019-07 unverdicted novelty 8.0

    Finite-energy weak solutions to ideal MHD exist with time-varying magnetic helicity, proving they are not attainable in the infinite-conductivity zero-viscosity limit.