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MR628507 (83d:76012) 76C05 (35Q20 58E07)
Sulem, C.; Sulem, P.-L.; Bardos, C.; Frisch, U. Finite time analyticity for the two- and three-dimensional Kelvin-Helmholtz instability. Comm. Math. Phys. 80 (1981), no. 4, 485–516.
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