P.I. Plotnikov and V.N.Starovoitov,“Stefan problem as the limit of the phase field system.” Differential Equations 29 (1993), 461–471.

has been cited by the following article:

• TITLE: Simulation 0f the Heat Transfer in the Nanocathode

  AUTHORS: V.G. Daniov, V.Yu. Rudnev, V.I. Kretov

  KEYWORDS: thermo-field emission, cathode, Nottingham effect, free boundary, phase field system, Stefan-Gibbs-Thomson problem

  JOURNAL NAME: Open Journal of Applied Sciences, Vol.2 No.4B, January 15, 2013

  ABSTRACT: The heat transfer processis simulated in a nano-sized cone-shaped cathode. A model of heat transfer is constructed using the phase field system and theNottingham effect. We considerinfluence of the free boundary curvature and the Nottingham effect on the heat balance in the cathode.