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JOURNALS // Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences // Archive

Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2011 Issue 3(24), Pages 199–201 (Mi vsgtu1003)

This article is cited in 3 papers

Short Communication
Mathematical Modelling

On the mathematical modeling of the contaminated groundwater fractal migration in natural porous systems

A. A. Vendina

Dept. of Higher Mathematics, North Caucasus State Technical University, Stavropol'

Abstract: The problems of the mathematical modeling of the contaminated groundwater migration, which cannot be described in the context of the mass transfer theory classical approach, are considered. For the study of space-time conformity of nonlinear effects, determined by scaled invariance, the well-set nonlocal boundary problem for the model differential equation of nonlinear migration is proposed.

Keywords: migration of contaminated groundwater, diffusion on fractals, fractional differential equations.

UDC: 517.958:531.72

MSC: Primary 26A33; Secondary 28A80

Original article submitted 03/III/2011
revision submitted – 07/VI/2011

DOI: 10.14498/vsgtu1003



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