Application of the Equivalence Set Method to Solving Inverse Multicriterial Problems for Distributed Systems With Many Parameters

The application of the equivalence set method for solving inverse multicriterial problems for distributed systems with many input parameters is described. The direct problem considered as an example is described by a fourdimensional system of differential equations in partial derivatives of the second order. This hydrodynamic model has several independent adjustable parameters, the values of which are not always determined from theory or observational data when studying the corresponding processes. Therefore, it is necessary to solve the inverse problem of determining the optimal sets of values of the model parameters by several criteria. To solve this problem, the equivalence set method is used, developed for solving multicriterial problems of discrete optimization and inverse problems of mathematical physics and other sciences. An algorithm for its application is described using the example of this problem, and the results of computer calculations are given.