This paper studies
the problems of mathematical description of physical processes in open
non-equilibrium atmosphere. It is proposed that the mathematical description
should be based on the idea that properties of an open system are determined by
the properties of its elements and external constraints. It is also explained
why atmosphere should be represented by an open non-equilibrium system of gas and radiation. Difference between
physical processes in the above mentioned system and equilibrium atmosphere
is given. The modification of equations of non-equilibrium thermodynamics for a
system of gas and radiation is proposed. Possible ways for further development
of tools of non-equilibrium thermodynamics
 Obama, B. (2013) Administration calls for more action on climate change. EOS, 819, 78.
 Anthes, R.A., Panofsky, H.A., Cahir, J.J. and Rango, A. (1978) The atmosphere. 2nd Edition, Meteorology, London.
 Essex, C. (1984) Radiation and irreversible thermodynamics of climate. Journal of the Atmospheric Sciences, 12, 1985-1991.http://dx.doi.org/10.1175/1520-0469(1984)041<1985:RATITO>2.0.CO;2
 Ginsburg, E.I., Gulyaev, V.T. and Zhalkovskaya, L.V. (1987) Dynamic models of the free atmosphere. Russian Academy of Science (RAS), Novosibirsk.
 Wild, L.A. (1969) Theory of oscillations of the atmosphere, Gidrometizdat, Leningrad (L).
 Izakov, M.N. (1997) Self-organization and information on planets and ecosystems, UFN, 10, 1087-1094.http://dx.doi.org/10.3367/UFNr.0167.199710e.1087
 Somsikov, V.M. (1983) Solar terminator and dynamic of the atmosphere. Science, Alma-Ata.
 Somsikov, V.M. (2011) Solar terminator and dynamic phenomena in the atmosphere: A review. Geomagnetism and Aeronomy, 6, 707-719.http://dx.doi.org/10.1134/S0016793211060168
 Golitsyn, G.S. and Mokhov, I.I. (1978) The stability and properties of the extreme climate models. Atmospheric and Oceanic Physics, 4, 378-387.
 Zherebcov, G.A., Kovalenko, V.A. and Moloduh, S.I. (2004) The radiation balance of the atmosphere and climate manifestations of solar variability. Atmospheric and Ocean Optics, 12, 1003-1017.
 Arkhipov, Y.V., Ganguly, B., Namvar, R. and Somsikov, V.M. (1999) The influence of solar radiation on the vibrational spectrum of the atmosphere. Geomagnetism and Aeronomy, 4, 108-112.
 Somsikov, V.M., Dungenbaeva, K.E. and Ganguly, B. (2004) Acoustic-gravity waves in a non-equilibrium atmosphere. Geomagnetism and Aeronomy, 3, 407-411.
 Antonova, V.P., Dungenbaeva, K.E., Zalizovskii, A.V., Inchin, A.S., Kryukov, S.V., Somsikov V.M. and Yampol’skii, Yu.M. (2006) Difference between the spectra of acoustic gravity waves in daytime and nighttime hours due to nonequilibrium effects in the atmosphere. Geomagnetism and Aeronomy, 1, 101-109.http://dx.doi.org/10.1134/S0016793206010117
 Somsikov, V.M. (2006) By the beginning of the evolution of physics. PEOS, 2, 29-39.
 Somsikov, V.M. (2010) Non-equilibrium atmosphere as a gas-radiation. Proceedings of the National Academy of Sciences of Kazakhstan. A Series of Physics & Mathimatics, 4. 148-154.
 Somsikov, V.M. (1987) A spherical model of wave generation in atmosphere by solar terminator. Journal of Atmospheric and Solar—Terrestrial Physics, 5, 433-438.http://dx.doi.org/10.1016/0021-9169(87)90037-7
 Kurmangaliev, D.A. and Somsikov, V.M. (1989) Structure of atmospheric pressure field waves generated by the solar terminator. Part 2. Calculations. Science, 2, 19-27.
 Somsikov, V.M. (1986) Radiation nonlinearity. VINITI, Alma-Ata.
 Vlasov, A.A. (2005) Macroscopic electrodynamics. 2nd Edition, Fizmatlit, Moscow (M).
 Rumer, Yu.B. and Ryvkin, M.Sh. (1977) Thermodynamics, statistical physics and kinematics. Science, Moscow (M).
 Somsikov, V.M., Andreev, A.B., Zhumabaew, B.T. and Sokolova, O.I. (2011) Analysis of diurnal dynamics of the geomag. Field variation spectrum. Geomagnetism and Aeronomy, 1, 68-72.http://elibrary.ru/item.asp?id=17218862
 Gershman, B.N. (1974) The dynamics of the ionospheric plasma. Science, Moscow (M).
 Nicolis, G. and Prigogine, I. (1990) Exploring complexity. Mir, Moscow (M).
 Somsikov, V.M. (2004) The equilibration of an hard-disks system. IJBC, 11, 4027-4033.http://www.worldscientific.com/doi/abs/10.1142/S0218127404011648
 Somsikov, V.M. (2013) Nonequilibrium systems and mechanics of the structured particles. Springer, London.