On the homogenization principle in a time-periodic problem for the Navier–Stokes equations with rapidly oscillating mass force

Author:

Khatskevich V. L.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Reference14 articles.

1. B. M. Levitan and V. V. Zhikov, Almost-Periodic Functions and Differential Equations (Izd. Moskov. Univ., Moscow, 1978) [in Russian].

2. I. B. Simonenko, Homogenization Method in the Theory ofNonlinear Equations of Parabolic Typewith Application to Problems of Hydrodynamic Stability (Izd. Rostovsk. Gos. Univ., Rostov-on-Don, 1989) [in Russian].

3. V. B. Levenshtam, “Justification of the averaging method for parabolic equations containing rapidly oscillating terms with large amplitudes,” Izv. Ross. Akad. Nauk Ser. Mat. 70 (2), 25–56 (2006) [Izv. Math. 70 (2), 233–263 (2006)].

4. V. B. Levenshtam, “Justification of the averaging method for a system of equations with the Navier-Stokes operator in the principal part,” Algebra Anal. 26 (1), 94–127 (2014) [St. PetersburgMath. J. 26 (1), 69–90 (2015)].

5. V. L. Khatskevich, “Homogenization of dissipative generalized differential equations,” Vestnik St. Petersburg Univ. Ser. IMat. Mekh. Astronom., No. 4, 725–727 (1992).

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