Mathematical model of floods with the distributed parameters

Abstract

Though in general the picture of formation of floods is clear and it is clear that they generally are defined by intensity and duration of rainfall over a river basin, but there is no mathematical approach, within which it was possible to predict for the concrete pool, the moment of approach of floods with sufficient advance time, still In our opinion, weakness of the existing mathematical models of floods is that they have "accumulative" character. We consider a flood as qualitatively new condition of the pool as accident. In work the new mathematical model of floods with the distributed parameters is received. It is shown that the offered mathematical model describes the mode with an exacerbation. It means that for final time the amount of moisture in the soil strives for infinity. Inflow of moisture happens much quicker than outflow and moisture doesn't manage to leave for a certain border and there is an accumulation (localization) of moisture that leads to accident emergence that is to the lood phenomena.