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The Stefan problem: a new approach. Application to talik in the glacial zone.

Problème de Stefan : une nouvelle méthode approchée. Application au talik en zone périglaciaire.

Author(s) : POSADO CANO R., AGUIRRE-PUENTE J., COSTARD F.

Summary

Stefan-like problems are those prolems which admit at least two phases in equilibria usually separated by a sharp or extended front. It is well known that these problems are very difficult to solve from a mathematical viewpoint due to inherent non-linearity induced by the free boundary. For convenience, the authors consider monodimensional problems. They present new theoretical results for problems with tractable geometry and with phase change at fixed temperature. They consider some boundary conditions such as the Neumann condition, Dirichlet condition and Fourier condition. An application is made to estimate the thickness of thawed ground beneath a river (talik).

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Pages: 162-170

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Details

  • Original title: Problème de Stefan : une nouvelle méthode approchée. Application au talik en zone périglaciaire.
  • Record ID : 2001-1127
  • Languages: French
  • Source: Permafrost and Actions of Natural or Artificial Cooling
  • Publication date: 1998/10/21
  • Document available for consultation in the library of the IIR headquarters only.

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