Neumann–Lame–Clapeyron–Stefan Problem and Its Solution Using Fractional Differential-Integral Calculus

  • L. P. Kholpanov
  • S. E. Zakiev
  • V. A. Fedotov


A method is proposed to solve boundary-value problems for parabolic equations with unknown boundaries (where the solutions join) moving according to time-dependent laws. This method is based on fractional differential-integral calculus. An integral relation between the temperature and velocity of the moving interface is put forward. Necessary examples are given.


Parabolic Equation Stefan Problem Integral Relation Unknown Boundary 
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© MAIK “Nauka/Interperiodica” 2003

Authors and Affiliations

  • L. P. Kholpanov
    • 1
  • S. E. Zakiev
    • 2
  • V. A. Fedotov
    • 2
  1. 1.Institute of Problems of Chemical PhysicsRussian Academy of SciencesChernogolovka, Moscow oblastRussia
  2. 2.Institute of Structural Macrokinetics and Problems of Materials ScienceRussian Academy of SciencesChernogolovka, Moscow oblastRussia

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