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Finite time analyticity for the two and three dimensional Kelvin- Helmholtz instability. (English) Zbl 0476.76032


MSC:

76B47 Vortex flows for incompressible inviscid fluids
76E05 Parallel shear flows in hydrodynamic stability
76E30 Nonlinear effects in hydrodynamic stability

Citations:

Zbl 0107.427

References:

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[7] Chandrasekhar, S.: Hydrodynamic and hydromagnetic stability. Oxford: Clarendon Press 1961 · Zbl 0142.44103
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[11] Moore, D.W.: Proc. Roy. Soc. London Ser. A365, 105–119 (1979) · Zbl 0404.76040 · doi:10.1098/rspa.1979.0009
[12] Morf, R., Orszag, S.A., Meiron, D.I., Frisch, U., Meneguzzi, M.: In: Proc. of the Seventh International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics. Berlin, Heidelberg, New York: Springer (to appear) (1980)
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[15] Ovsjannikov, L.V.: Dokl. Akad. Nauk SSSR200, No. 4; Sov. Math. Dokl.12, 1497–1502 (1971)
[16] Richtmyer, R., Morton, K.W.: Difference methods for initial value problems, 2nd ed. Interscience Tracts in Pure and Applied Mathematics (1967) · Zbl 0155.47502
[17] Saffman, P.G., Baker, G.R.: Ann. Rev. Fluid. Mech.II, 95–122 (1979) · doi:10.1146/annurev.fl.11.010179.000523
[18] Wolibner, W.: Math. Z.37, 698–726 (1933) · Zbl 0008.06901 · doi:10.1007/BF01474610
[19] Yudovich, V.I.: Zh. Vycisl. Mat. Fiz.3, 1032–1066 (1963)
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