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arxiv: 1205.1226 · v1 · pith:CMS6OHZPnew · submitted 2012-05-06 · 🧮 math.AP

Dissipative continuous Euler flows in two and three dimensions

Antoine Choffrut , Camillo De Lellis , L\'aszl\'o Sz\'ekelyhidi Jr This is my paper
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keywords continuousdissipativeeulerflowsthree-dimensionaladaptedauthorsbeltrami
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Recently, two of these authors construct dissipative continuous (weak) solutions to the incompressible Euler equations on the three-dimensional torus $\mathbb T^3$. The building blocks in their proof are Beltrami flows, which are inherently three-dimensional. The purpose of this note is to show that the techniques can nevertheless be adapted to the two-dimensional case.

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