Siberian Mathematical Journal

, Volume 30, Issue 4, pp 554–559 | Cite as

Asymptotic integration of a problem of convection

  • V. B. Levenshtam


Asymptotic Integration 
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Literature Cited

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    S. M. Zen'kovskaya and I. B. Simonenko, “Effect of high-frequency oscillations on initiation of convection,” Mekh. Zhidk. Gaza, No. 5, 51–55 (1966).Google Scholar
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    I. B. Simonenko, “Foundations of the method of averaging for the problem of convection in a field of forces oscillating with high frequency and for other parabolic equations,” Mat. Sb.,87, 236–253 (1972).Google Scholar
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    V. I. Yudovich, Method of Linearization in the Hydrodynamic Theory of Stability [in Russian], Izd. Rostov. Gos. Univ., Rostov-on-Don (1984).Google Scholar
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    V. A. Trenogin, “Development and applications of the Lyusternik-Vishik asymptotic method,” Usp. Mat. Nauk,25, No. 4, 123–156 (1970).Google Scholar
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    A. I. Koshelev, “A priori estimates in Lp and the generalized solutions of elliptic equations and systems,” Usp. Mat. Nauk,13, No. 4, 29–88 (1958).Google Scholar
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    V. B. Levenshtam, “The construction of higher approximations by the method of averaging for certain problems of hydrodynamics,” Dep. at VINITI, No. 7673-B97, 2. 11. 87, Moscow (1987).Google Scholar

Copyright information

© Plenum Publishing Corporation 1990

Authors and Affiliations

  • V. B. Levenshtam

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