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• W3014944576 abstract "The binormal flow is a model for the dynamics of a vortex filament in a 3-D inviscid incompressible fluid. The flow is also related with the classical continuous Heisenberg model in ferromagnetism, and the 1-D cubic Schrödinger equation. We consider a class of solutions at the critical level of regularity that generate singularities in finite time. One of our main results is to prove the existence of a natural energy associated to these solutions. This energy remains constant except at the time of the formation of the singularity when it has a jump discontinuity. When interpreting this conservation law in the framework of fluid mechanics, it involves the amplitude of the Fourier modes of the variation of the direction of the vorticity." @default.
• W3014944576 created "2020-04-10" @default.
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• W3014944576 date "2020-04-01" @default.
• W3014944576 modified "2023-09-30" @default.
• W3014944576 title "On the energy of critical solutions of the binormal flow" @default.
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• W3014944576 doi "https://doi.org/10.1080/03605302.2020.1738460" @default.
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