On classical solutions of the two-dimensional non-stationary Euler equation. (English) Zbl 0166.45302


fluid mechanics
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[1] Courant, R., & D. Hilbert, Methods of Mathematical Physics, vol. II. Interscience 1962. · Zbl 0099.29504
[2] Eidus, D. M., Inequalities for Green’s function. Mat. Sb. 45 (87), 455–470 (1958) [Russian].
[3] Hopf, E., Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Math. Nachr. 4, 213–231 (1951). · Zbl 0042.10604 · doi:10.1002/mana.3210040121
[4] Judovič, V. I., Non-stationary flows of an ideal incompressible fluid. Ž. Vyčisl. Mat. i Fiz. 3, 1032–1066 (1963) [Russian].
[5] Kellogg, O. D., Harmonic functions and Green’s integral. Trans. Amer. Math. Soc. 13, 109–132 (1912). · JFM 43.0547.01
[6] McGrath, F., Convergence of a non-stationary plane flow of a Navier-Stokes fluid to an ideal fluid flow. Thesis, Univ. Calif. 1966.
[7] Wolibner, W., Un théorème sur l’existence du mouvement plan d’un fluide parfait, homogène, incompressible, pendant un temps infiniment longue. Math. Z. 37, 698–726 (1933). · JFM 59.1447.02 · doi:10.1007/BF01474610
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