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Updated: Aug 9, 2026
08:01
The Diffusion of Passive Tracers in Laminar Shear Flow
Published on: May 1, 2018
The one-phase Stefan problem and the porous medium diffusion equation: Continuity of the solution in n space
1Department of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455.
Abstract:
THE FOLLOWING PROBLEMS ARE CONSIDERED: (i) the one-phase Stefan problem, which describes the melting of ice, and (ii) the flow of gas in a porous medium. Both problems are considered in the n-dimensional space. The main result asserts that the solution [i.e., the temperature in problem (i) and the density in problem (ii)] is continuous.
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