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Behavior of several two-dimensional fluid equations in singular scenarios

We give conditions that rule out formation of sharp fronts for certain two-dimensional incompressible flows. We show that a necessary condition of having a sharp front is that the flow has to have uncontrolled velocity growth. In the case of the quasi-geostrophic equation and two-dimensional Euler e...

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Bibliografiske detaljer
Main Authors: Cordoba, Diego, Fefferman, Charles
Format: Artigo
Sprog:Inglês
Udgivet: National Academy of Sciences 2001
Fag:
Online adgang:https://ncbi.nlm.nih.gov/pmc/articles/PMC31830/
https://ncbi.nlm.nih.gov/pubmed/11274348
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1073/pnas.061038998
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