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arxiv: 1610.08955 · v2 · pith:MOVEAIVQnew · submitted 2016-10-27 · 🧮 math.AP

Singular solutions with vorticity control for a nonlocal system of evolution equations

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keywords equationssystemblowupcontrolnonlocalsolutionsconstructdimension
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We investigate a system of nonlocal transport equations in one spatial dimension. The system can be regarded as a model for the 3D Euler equations in the hyperbolic flow scenario. We construct blowup solutions with control up to the blowup time.

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