Abstract
We solve a nonlinear problem of diffusion from a concentrated source in a moving medium with diffusion coefficient depending on the scale of the phenomenon, time, and the concentration of impurities. We obtain a family of exact solutions of this problem, which can be regarded as a generalization of the class of linear problems of diffusion considered earlier for the conditions of the ocean and atmosphere by Roberts, Ozmidov, Obukhov,et al.
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References
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Berezovskii, A. A. and Boguslavsky, A. S. Exact solutions of nonlinear problems of turbulent diffusion with diffusion coefficient depending on the scale, time, and the concentration of impurities. In:Numerical-Analytic Methods for the Solution of Problems of Heat Conduction and Electrodynamics. Kiev: Institute of Mathematics, Ukrainian Academy of Sciences (1979), pp. 115–129.
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Translated by Peter V. Malyshev and Dmitry V. Malyshev.
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Boguslavsky, A.S. Diffusion in the ocean with diffusion coefficient depending on the scale and concentration of impurities. Phys. Oceanogr. 10, 93–97 (1999). https://doi.org/10.1007/BF02519253
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DOI: https://doi.org/10.1007/BF02519253