Abstract
It is proved that the self-similar solution of the nonlinear equation of filtration gives the asymptotic representation of the solution of the Cauchy problem for the same equation.
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Kamenomostskaya, S. The asymptotic behaviour of the solution of the filtration equation. Israel J. Math. 14, 76–87 (1973). https://doi.org/10.1007/BF02761536
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DOI: https://doi.org/10.1007/BF02761536