Sulem, C.; Sulem, P. L.; Bardos, C.; Frisch, U. Finite time analyticity for the two and three dimensional Kelvin- Helmholtz instability. (English) Zbl 0476.76032 Commun. Math. Phys. 80, 485-516 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 52 Documents MSC: 76B47 Vortex flows for incompressible inviscid fluids 76E05 Parallel shear flows in hydrodynamic stability 76E30 Nonlinear effects in hydrodynamic stability Keywords:finite time analyticity; two and three dimensional Kelvin-Helmholtz instability; vorticity conservation; vortex sheet; analytic initial data; irrotational; velocity jump across an interface; weak solution; Euler equation; Lagrangian representation of vortex sheet; Birkhoff equation Citations:Zbl 0107.427 × Cite Format Result Cite Review PDF Full Text: DOI Euclid References: [1] Babenko, K.I., Petrovich, V.U.: Sov. Phys. Dokl.24, 161–163 (1979); Preprint No. 68, Inst. Prikl. Math. Moscou (1978) [2] Baouendi, M.S., Goulaouic, C.: Comm. Part. Diff. Eq.2, 1151–1162 (1977) · Zbl 0391.35006 · doi:10.1080/03605307708820057 [3] Bardos, C.: J. Math. Anal. Appl.40, 769–790 (1972) · Zbl 0249.35070 · doi:10.1016/0022-247X(72)90019-4 [4] Birkhoff, G.: Los Alamos Scientific Laboratory Report LA-1862 (1954) [5] Birkhoff, G.: Los Alamos Scientific Laboratory Report LA-1927 (1955) [6] Birkhoff, G.: In: Hydrodynamics instability, p. 55–76. Proc. of Symp. Appl. Math. XIII, Ann. Math. Soc. (1962) [7] Chandrasekhar, S.: Hydrodynamic and hydromagnetic stability. Oxford: Clarendon Press 1961 · Zbl 0142.44103 [8] Kato, T.: Arch. Rat. Mech. Anal.25, 188–200 (1967) · Zbl 0166.45302 · doi:10.1007/BF00251588 [9] Ladysenskaya, O.A., Uratlceva, N.N.: Linear and quasi-linear elliptic equations. Mathematics in Science and Engineering, Vol. 46. New York, London: Academic Press 1968 [10] Meiron, D.I., Baker, G.R., Orszag, S.A.: Analytic structure of vortex sheet dynamics. I. Kelvin-Helmholtz instability (to appear) (1980) · Zbl 0476.76031 [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) [13] Nirenberg, L.: J. Diff. Geometry6, 561–576 (1972) [14] Nishida, T.: J. Diff. Geometry12, 629–633 (1977) [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) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.