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High-Frequency Asymptotics of a Solution to a Linear System with the Stokes Operator in the Principal Part

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We consider a linear system of partial differential equations with the Stokes operator in the principal part and coefficients that rapidly oscillate in time. In the case where the limiting (averaged) stationary part of the system degenerates, we use the boundary layer method for constructing a complete formal asymptotic expansion of a time-periodic solution.

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Authors and Affiliations

  1. Southern Federal University, 105/42 Sadovaya St., Rostov-on-Don, 344006, Russia

    M. R. Ishmeev & V. B. Levenshtam

  2. Southern Mathematical Institute of the Vladikavkaz Scientific Center of the RAS and the Government of the Republic Northern Ossetia-Alania, 22, Markusa St., Vladikavkaz, 362027, Russia

    V. B. Levenshtam

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  1. M. R. Ishmeev
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  2. V. B. Levenshtam
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Correspondence to M. R. Ishmeev.

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Translated from Problemy Matematicheskogo Analiza 80, April 2015, pp. 3-10.

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Ishmeev, M.R., Levenshtam, V.B. High-Frequency Asymptotics of a Solution to a Linear System with the Stokes Operator in the Principal Part. J Math Sci 208, 151–159 (2015). https://doi.org/10.1007/s10958-015-2432-3

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