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Absence of splash singularities for surface quasi-geostrophic sharp fronts and the Muskat problem

In this paper, for both the sharp front surface quasi-geostrophic equation and the Muskat problem, we rule out the “splash singularity” blow-up scenario; in other words, we prove that the contours evolving from either of these systems cannot intersect at a single point while the free boundary remain...

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Detalhes bibliográficos
Main Authors: Gancedo, Francisco, Strain, Robert M.
Formato: Artigo
Idioma:Inglês
Publicado em: National Academy of Sciences 2014
Assuntos:
Acesso em linha:https://ncbi.nlm.nih.gov/pmc/articles/PMC3896209/
https://ncbi.nlm.nih.gov/pubmed/24347645
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1073/pnas.1320554111
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