Gera B. Mathematical models and optimal restoration methods of the Earth surface thermal parameters

The thesis is dedicated to the development of mathematical models and restoration methods of physical field functions of natural objects and thermal characteristics of the earth surface under incomplete or redundant data. The main physical properties of the earth surface field and its dependence due to heterogeneity and medium's characteristic changes are taken into account. The modeling is based on thermodynamic and physical justified criteria, as minimum specified entropy creation, which permits to choose corresponding functions of diffusion type fields. Have been formulated mathematical problems of optimal restoration of temperature and moisture content functions due to earth surface layers, analysis of parameters of internal source of temperature, obtaining surface wind velocity distribution of the atmosphere boundary layer as well as methods of its solving.