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Remarks on a One‐Dimensional Stefan Problem Related to the Diffusion‐Consumption Model
Author(s) -
Comparini E.,
Ricci R.,
Tarzia D. A.
Publication year - 1984
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19840641217
Subject(s) - crank , diffusion , consumption (sociology) , oxygen , boundary (topology) , boundary value problem , mathematics , thermodynamics , mathematical analysis , physics , geometry , cylinder , social science , quantum mechanics , sociology
We study the behaviour of the free boundary of the Crank‐Gupta model for the diffusion‐consumption of oxygen in a living tissue, assuming an initial condition corresponding to the stationary solution and with a decreasing input of oxygen at the fixed boundary.
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