APPLICATION OF MATHEMATICAL-METHODS FOR SOLVING THE PROBLEM OF LIQUIDBOUNDARY-CONDITIONS IN HYDRODYNAMICS

The calculation of ''boundary functions'' on liquid (open) parts of bo undaries is a problem in hydrodynamics [3]. We consider this problem u sing optimal control approaches and apply to some mathematical models. To investigate and to solve the problem we use : (i) data assimilatio n processes; (ii) techniques of the optimal control theory; (iii) inve rse theory methods; (iv) modem iterative algorithms and numerical meth ods. We discuss the efficiency of the proposed methodology and present the results of numerical experiments.