Nonlinear stability of a parabolic velocity profile in a plane periodic channel

Author:

Troshkin O. V.

Publisher

Pleiades Publishing Ltd

Subject

Computational Mathematics

Reference37 articles.

1. O. A. Ladyzhenskaya, The Mathematical Theory of Viscous Incompressible Flow (Gordon and Breach, New York, 1969; Nauka, Moscow, 1970).

2. V. I. Yudovich, “A two-dimensional nonstationary problem of the flow of an inviscid incompressible fluid through a given region,” Mat. Sb. 64, 562–588 (1964).

3. W. Wolibner, “On theoreme sur l’existence du movement plan d’un fluid parfait, homogene, incompressible, pendant um temps infiniment logue,” Math. Z. 37, 698–726 (1933).

4. T. Kato, “On classical solutions of the two dimensional nonstationary Euler equation,” Arch. Rat. Mech. Anal. 25(3), 188–200 (1967).

5. S. L. Sobolev, Some Applications of Functional Analysis in Mathematical Physics (Leningr. Gos. Univ., Leningrad, 1950; Am. Math. Soc., Providence, R.I., 1963).

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