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The one-phase Stefan problem and the porous medium diffusion equation: Continuity of the solution in n space dimensions

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 d...

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Bibliographic Details
Published in:Proc Natl Acad Sci U S A
Main Authors: Caffarelli, Luis A., Friedman, Avner
Format: Artigo
Language:Inglês
Published: National Academy of Sciences 1978
Subjects:
Online Access:https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC392494/
https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16592526/
https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.75.5.2084
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