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Evidence of singularities for a family of contour dynamics equations

In this work, we show evidence of the existence of singularities developing in finite time for a class of contour dynamics equations depending on a parameter 0 < α ≤ 1. The limiting case α → 0 corresponds to 2D Euler equations, and α = 1 corresponds to the surface quasi-geostrophic equation. The...

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書目詳細資料
Main Authors: Córdoba, Diego, Fontelos, Marco A., Mancho, Ana M., Rodrigo, Jose L.
格式: Artigo
語言:Inglês
出版: National Academy of Sciences 2005
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在線閱讀:https://ncbi.nlm.nih.gov/pmc/articles/PMC1087950/
https://ncbi.nlm.nih.gov/pubmed/15837929
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1073/pnas.0501977102
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