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JOURNALS // Proceedings of the Yerevan State University, series Physical and Mathematical Sciences // Archive

Proceedings of the YSU, Physical and Mathematical Sciences, 1990 Issue 1, Pages 50–55 (Mi uzeru794)

Physics

Transfer processes with an arbitrary degree law dependent coefficient in an isotropic space of arbitrary dimension. II

Yu. N. Hayrapetyan

Yerevan State University

Abstract: In the paper it is shown that when the temperature-conductivity (diffusion coefficient dependence on temperature (concentration) $C$ provides the parabolic operator monotony and besides that vanishes simultaneously with the temperature (concentration) (e. g. $g(c)=Ac^n, 1\leq n<\infty$), then there exists a region for each moment of time, in which the exact solution vanishes, i. e. the heat (substance) propagates with a finite speed.

UDC: 517.946

Received: 02.02.1989
Accepted: 28.03.1990



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