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  • 标题:The one-phase Stefan problem and the porous medium diffusion equation: Continuity of the solution in n space dimensions
  • 本地全文:下载
  • 作者:Luis A. Caffarelli ; Avner Friedman
  • 期刊名称:Proceedings of the National Academy of Sciences
  • 印刷版ISSN:0027-8424
  • 电子版ISSN:1091-6490
  • 出版年度:1978
  • 卷号:75
  • 期号:5
  • 页码:2084-2084
  • DOI:10.1073/pnas.75.5.2084
  • 语种:English
  • 出版社:The National Academy of Sciences of the United States of America
  • 摘要: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.
  • 关键词:melting of solids ; flow of gas in a porous medium ; free boundary problem ; regularity of solutions
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