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arxiv: 1906.05811 · v1 · pith:BBKKDUIYnew · submitted 2019-06-13 · 🧮 math.AP

Stable self-similar blowup for a family of nonlocal transport equations

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keywords familyself-similarblow-upequationsstabletransportblowupconsider
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We consider a family of non-local problems that model the effects of transport and vortex stretching in the incompressible Euler equations. Using modulation techniques, we establish stable self-similar blow-up near a family of known self-similar blow-up solutions.

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