We recall some basic facts about the breakdown of smoothness in general hyperbolic systems and then, we prove that the breakdown of smoothness in an Euclidean flow comes from an accumulation of vorticity, divergence or compression.
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Similar content being viewed by others Explore related subjectsDiscover the latest articles and news from researchers in related subjects, suggested using machine learning. BibliographieBeale, J.T., Kato, T., Majda, A.: Remarks on the breakdown of smooth solutions for the 3-D Euler equations. Commun. Math. Phys.94, 61–66 (1984)
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Centre de Mathématiques, Ecole Polytechnique, F-91128, Palaiseau Cedex, France
Jean-Yves Chemin
Unité de Recherche Associée au C.N.R.S. no D0169, France
Jean-Yves Chemin
Communicated by T. Spencer
About this article Cite this articleChemin, JY. Remarques sur l'apparition de singularités dans les ecoulements euleriens compressible. Commun.Math. Phys. 133, 323–329 (1990). https://doi.org/10.1007/BF02097370
Received: 10 May 1989
Revised: 28 August 1989
Issue Date: October 1990
DOI: https://doi.org/10.1007/BF02097370
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