Yakovenko V. Mathematical modelling of microwave and thermal processes in the areas with mobile ambits

3. Construction and investigation of nonlinear mathematical models, to development and a substantiation of a solu- tion method of a nonlinear hyperbolic regional problem to development of algorithms and their numerical realization for parabolic and elliptic boundary problems to definition of coordinates of vectors of electromagnetic microwave fields, temperature fields, moisture content and partial gas pressure in the areas with mobile ambits. The opportunity of receiving of the decisions of nonlinear hyperbolic and parabolic regional problems is proved by reduction of system of the equations in partial derivatives to infinite system of the ordinary differential equations of the second or first order. The estimation of the decision of such system of the ordinary differential equations.