On 2D Rayleigh-Taylor instabilities

V. Kamotski; G. Lebeau

Journées Équations aux dérivées partielles (2004)

  • page 1-10
  • ISSN: 0752-0360

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Kamotski, V., and Lebeau, G.. "On 2D Rayleigh-Taylor instabilities." Journées Équations aux dérivées partielles (2004): 1-10. <http://eudml.org/doc/10599>.

@article{Kamotski2004,
author = {Kamotski, V., Lebeau, G.},
journal = {Journées Équations aux dérivées partielles},
keywords = {Kelvin-Helmholtz instability; vortex sheet; Euler equations; regularity; local-in-time existence},
language = {eng},
month = {6},
pages = {1-10},
publisher = {Groupement de recherche 2434 du CNRS},
title = {On 2D Rayleigh-Taylor instabilities},
url = {http://eudml.org/doc/10599},
year = {2004},
}

TY - JOUR
AU - Kamotski, V.
AU - Lebeau, G.
TI - On 2D Rayleigh-Taylor instabilities
JO - Journées Équations aux dérivées partielles
DA - 2004/6//
PB - Groupement de recherche 2434 du CNRS
SP - 1
EP - 10
LA - eng
KW - Kelvin-Helmholtz instability; vortex sheet; Euler equations; regularity; local-in-time existence
UR - http://eudml.org/doc/10599
ER -

References

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  1. J.-M. Bony. Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires. Ann. Sci. Ec. Norm. Sup.,IV série, 14:209–246, 1981. Zbl0495.35024MR631751
  2. G. Lebeau. Régularité du problème de Kelvin-Helmholtz pour l’équation d’Euler 2d. ESAIM: COCV, 08:801–825, 2002. Zbl1070.35504MR1932974
  3. Sijue Wu Recent progress in mathematical analysis of vortex sheets. Proceedings of the International Congress of Mathematicians, Vol. III (Beijing, 2002), 233–242, Higher Ed. Press, Beijing, 2002. Zbl1007.76005MR1957535
  4. G. Lebeau. and V. Kamotski On 2D Rayleigh-Taylor instabilities. to appear in Asymptotic Analysis , 2004 Zbl1083.35114
  5. C. Sulem and P.L. Sulem. Finite time analyticity for the two- and three-dimensional Rayleigh- Taylor instability. Trans. Am. Math. Soc., 287(1):127–160, 1985. Zbl0517.76051MR766210
  6. C. Sulem, P.L. Sulem, C. Bardos, and U. Frisch. Finite time analyticity for the two and three dimensional Kelvin-Helhmoltz instability. Comm. in Math. Phys., 80:485–516, 1981. Zbl0476.76032MR628507
  7. T. Nishida. A note on a theorem of Nirenberg. J. Differ. Geom., 12:629–633, 1977. Zbl0368.35007MR512931

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