Effect of initial conditions on the dispersion dynamics of a diffusing substance

作者: A. N. Bestuzheva , A. L. Smirnov

DOI: 10.3103/S1063454117040045

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摘要: This work continues the studies on diffusion of a substance over water surface, in particular, effect nonuniformity initial distribution dynamic characteristics pollution spot has been investigated. A is understood to mean surface area which concentration diffusing higher than specified threshold value. The analytical solutions boundary-value problems have found by Fourier method special functions for equation unlimited areas. Asymptotic and numerical methods are used their analysis. It concluded that polluting slight not only lifetime but also its maximum radius at same volume pollution. size time moment this attained case uniform distribution.

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