1. Alexander M.J., Geller M., McLandress C., Polavarapu S., Preusse P., Sass F., et al. Recent developments in gravity-wave effects in climate models and the global distribution of gravity-wave momentum flux from observations and models. Quarterly Journal of the Royal Meteorological Society. Part A. 2010, vol. 136, pp. 1103–1124. DOI:https://doi.org/10.1002/qj.637.
2. Becker E., Vadas S.L. Secondary gravity waves in the winter mesosphere: Results from a high-resolution global circulation model. J. Geophys. Res. Atmos. 2018, vol. 23, iss. 5, pp. 2605–2627. DOI:https://doi.org/10.1002/2017JD027460.
3. Bidlingmeier E.R., Pogoreltsev A.I. Numerical modeling of the transformation of acoustic-gravitaty waves into temperature and viscous waves in the atmosphere. Izvestia. Atmospheric and Oceanic Physics. 1992, vol. 28, iss. 1, pp. 64–74. (In Russian).
4. Bowman M.R., Thomas I., Thomas R.H. The propagation of gravity waves through a critical layer for conditions of moderate wind shear. Planet. Space Sci. 1980, vol. 28, iss. 2, pp. 119–133. DOI:https://doi.org/10.1016/0032-0633(80)90088-4.
5. Fritts D.C., Wang L., Werne J. Gravity wave–fine structure interactions: A reservoir of small-scale and large-scale turbulence energy. Geophys. Res. Lett. 2009, vol. 36, iss. 19, L19805. DOI:https://doi.org/10.1029/2009GL039501.
6. Fritts D.C., Wan K., Werne J., Lund T., Hecht J.H. Modeling the implications of Kelvin-Helmholtz instability dynamics for airglow observations. J. Geophys. Res. Atmos. 2014, vol. 119, pp. 8858–8871. DOI:https://doi.org/10.1002/2014JD021737.
7. Gassmann A., Herzog H.-J. How is local material entropy production represented in a numerical model? Quarterly Journal of the Royal Meteorological Society. 2015, vol. 141, pp. 854–869. DOI:https://doi.org/10.1002/qj.2404.
8. Gavrilov N.M., Kshevetskii S.P. Identification of spectrum of secondary acoustic-gravity waves in the middle and upper atmosphere in a high-resolution numerical model. Sol.-Terr. Phys. 2023, vol. 9, iss. 3, pp. 86–92. DOI:https://doi.org/10.12737/stp-93202310.
9. Gavrilov N.M., Kshevetskii S.P. Numerical modeling of the propagation of nonlinear acoustic-gravity waves in the middle and upper atmosphere. Izvestiya, Atmos. Oceanic Phys. 2014, vol. 50, iss. 1, pp. 66–72. DOI:https://doi.org/10.7868/S0002351513050040.
10. Gavrilov N.M., Kshevetskii S.P., Koval A.V. Verifications of the high-resolution numerical model and polarization relations of atmospheric acoustic-gravity waves. Geoscientific Model Development. 2015, vol. 8, pp. 1831–1838. DOI:https://doi.org/10.5194/gmd-8-1831-2015
11. Gavrilov N.M., Kshevetskii S.P., Koval A.V. Decay times of atmospheric acoustic-gravity waves after deactivation of wave forcing. Atmos. Chem. Phys. 2022, vol. 22, pp. 3713–3724. DOI:https://doi.org/10.5194/acp-22-13713-2022.
12. Gavrilov N.M., Kshevetskii S.P., Koval A.V., Kurdyaeva Yu.A. Tunneling of acoustic-gravity waves through critical levels to the upper atmosphere. Adv. Space Res. 2025, vol. 75, iss. 4, pp. 3661–3670. DOI:https://doi.org/10.1016/j.asr.2024.12.005.
13. Gossard E.E., Hooke W.H. Waves in the Atmosphere: Atmospheric Infrasound and Gravity Waves: Their Generation and Propagation. Elsevier Sci. Publ. Co., 1975, 456 p.
14. Kikoin I.K. Tables of Physical Quantities. Moscow, Atomizdat Publ., 1976, pp. 272–279. (In Russian).
15. Liu X., Xu J., Liu H., Ma R. Nonlinear interactions between gravity waves with different wavelengths and diurnal tide. J. Geophys. Res.: Atmos. 2008, vol. 1139, iss. 8, D08112. DOI:https://doi.org/10.1029/2007JD009136.
16. Lomb N. Least-squares frequency analysis of unequally spaced data. Astrophys. Space Sci. 1976, vol. 39, iss. 2, pp. 447–462.
17. Miyoshi Y., Fujiwara H., Jin H., Shinagawa H. A global view of gravity waves in the thermosphere simulated by a general circulation model. J. Geophys. Res. Space Phys. 2014, vol. 119, iss. 7, pp. 5807– 5820. DOI:https://doi.org/10.1002/2014JA019848.
18. Picone J.M., Hedin A.E., Drob D.P., Aikin A.C. NRLMSISE-00 empirical model of the atmosphere: Statistical comparisons and scientific issues. J. Geophys. Res. 2002, vol. 107, iss. A12, 1468. DOI:https://doi.org/10.1029/2002JA009430.
19. Pogoreltsev A.I., Pertsev N.N. The influence of background wind on the formation of acoustic-gravity waves structure in the thermosphere. Izvestia. Atmospheric and Oceanic Physics, 1996, vol. 31, iss. 6, pp. 723–728.
20. Scargle J.D. Studies in astronomical time series analysis. II – Statistical aspects of spectral analysis of unevenly spaced data. Astrophys. J. 1982, vol. 263, pp. 835–853. DOI:https://doi.org/10.1086/160554.
21. Townsend A.A. Excitation of internal waves by a turbulent boundary layer. Journal of Fluid Mechanics. 1965, vol. 22, pp. 241–252. DOI:https://doi.org/10.1017/S002211206500071X.
22. Townsend A.A. Internal waves produced by a convective layer. Journal of Fluid Mechanics. 1966, vol. 24, pp. 307–319. DOI:https://doi.org/10.1017/S0022112066000661.
23. Vadas S.L., Liu H.-L. Numerical modeling of the large-scale neutral and plasma responses to the body forces created by the dissipation of gravity waves from 6 h of deep convection in Brazil. J. Geophys. Res.: Space Phys. 2013, vol. 118, pp. 2593–2617. DOI:https://doi.org/10.1002/jgra.50249.
24. Vadas S.L., Fritts D.C., Alexander M.J. Mechanism for the generation of secondary waves in wave breaking regions. J. Atmos. Sci. 2003, vol. 60, iss. 1, pp. 194–214. DOI:https://doi.org/10.1029/2004JD005574.
25. Vadas S.L., Zhao J., Chu X., Becker E. The excitation of secondary gravity waves from local body forces: Theory and observation. J. Geophys. Res.: Atmos. 2018, vol. 123, iss. 17, pp. 9296–9325. DOI:https://doi.org/10.1029/2017JD027970.
26. Vadas S.L., Becker E., Bossert K., Baumgarten G., Hoffmann L., Lynn Harvey V. Secondary gravity waves from the stratospheric polar vortex over ALOMAR Observatory on 12–14 January 2016. J. Geophys. Res.: Atmos. 2023, vol 128, e2022JD036985. DOI:https://doi.org/10.1029/2022JD036985.
27. Vadas S.L., Becker E., Bossert K., Hozumi Y., Stober G., Harvey V.L., Baumgarten G., Hoffmann L. The role of the polar vortex jet for secondary and higher-order gravity waves in the northern mesosphere and thermosphere during 11–14 January 2016. J. Geophys. Res.: Space Phys. 2024, vol. 129, iss. 9, e2024JA032521. DOI:https://doi.org/10.1029/2024JA032521.
28. Yiğit E., Medvedev A.S. Heating and cooling of the thermosphere by internal gravity waves. Geophys. Res. Lett. 2009, vol. 36, L14807. DOI:https://doi.org/10.1029/2009GL038507.
29. Yu Y., Hickey M.P., Liu Y. A numerical model characterising internal gravity wave propagation into the upper atmosphere. Adv. Space Res. 2009, vol. 44, pp. 836–846. DOI:https://doi.org/10.1016/j.asr.2009.05.014.
30. Zhao J., Chu X., Chen C., Lu X., Fong W., Yu Z., Jones R.M., Roberts B.R., Dörnbrack A. Lidar observations of stratospheric gravity waves from 2011 to 2015 at McMurdo (77.84° S, 166.69° E), Antarctica: 1. Vertical wavelengths, periods, and frequency and vertical wave number spectra. J. Geophys. Res.: Atmos. 2017, vol. 122, iss. 10, pp. 5041–5062. DOI:https://doi.org/10.1002/2016JD026368.