Institute of Computational Mathematics and Mathematical Geophysics

Abstracts

Mathematical modeling of processes in atmosphere and hydrosphere

Dynamic processes, origin and evolution of complex hierarchical dissipative structures in a opened terrestrial atmosphere are determined by passage and transformation of solar radiation through them. The more the system deviates from equilibrium state more the especial higher hierarchical structures, formed in it. Quantitative parameter of the level of nonequilibrium of atmosphere and so its structure and order determined by the negentropy. The negentropy of atmosphere is approximately equal to a difference of entropy of passing solar radiation through the atmosphere and entropy of a flow of infrared radiation leaving into the space. The entropy of infrared radiation is more than the entropy of solar radiation coming out of the terrestrial atmosphere. Therefore the amount of negentropy is negative and the entropy of structured, non-equilibrium atmosphere is less than the entropy of equilibrium atmosphere. Thus, from a physical point of view negentropy is determined by the level equilibrium of the system, or that part of energy, which is spent (to be exact, will be transformed or is reserved) for the dissipative non-equilibrium structures of atmosphere. Due to change of external limit, this part of energy can be freed and can cause high-energy dynamic processes in a non-linear way. Therefore it is impossible to construct modern model of atmosphere without considering the character of its openness and non-equilibrium state. We have shown, that nonequilibrium of an atmosphere influences a spectrum its own fluctuations. For this purpose we have studied wave fluctuations of an atmosphere, which was considered, as environment consisting of two components - of gas and solar radiation, cooperating with it. Was received appropriate dispersion equation for wave fluctuations of such environment and the comparisons of spectra of these waves with acoustic - gravitational waves in atmospheric gas are executed. The features of spectra of fluctuations of a nonequilibrium atmosphere are analyzed depending on height of an atmosphere.

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