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arXiv · 1602.02451

Cusp formation for a nonlocal evolution equation

Vu Hoang·Maria Radosz
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Abstract

In this paper, we introduce a nonlocal evolution equation inspired by the Córdoba-Córdoba-Fontelos nonlocal transport equation. The Córdoba-Córdoba-Fontelos equation can be regarded as a model for the 2D surface quasigeostrophic equation or the Birkhoff-Rott equation. We prove blowup in finite time, and more importantly, investigate conditions under which the solution forms a cusp in finite time.

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Vu Hoang, Maria Radosz. 2016-02-23. Cusp formation for a nonlocal evolution equation. https://doi.org/10.1007/s00205-017-1094-3

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