Asymptotic solutions to the Stefan problem with a constant heat source at the moving boundary

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 456, Issue 1997, 2000, Pages 1163-1174

  King, J R ^a   Riley, D S ^a  

^a UNIVERSITY OF NOTTINGHAM   (United Kingdom)

Author keywords

Ablation; Asymptotic methods; Etching; Exponential asymptotics; Stefan problem

Indexed keywords

EID: 33746416576     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.2000.0556     Document Type: Article

References (5)

1. Andrews, J. G. & Atthey, D. R. 1975 On thé motion of an intensely heated evaporating boundary. J. Inst. Math. Appl. 15, 59-72.
2. Galaktionov, V. A., Hulshof, J. & Vazquez, J. L. 1997 Extinction and focusing behaviour of spherical and annular flames described by a free boundary problem. J. Math. Pures Appl. 76, 563-608.
3. Huppert, H. E. 1989 Phase changes following the initiation of a hot turbulent flow over a cold solid surface. J. Fluid Mech. 198, 293-319.
4. Kuiken, H. K. 1984 Etching: a two-dimensional mathematical approach. Proc. R. Soc. Lond. A 392, 199-225.
5. Wallman, A. M., King, J. R. & Riley, D. S. 1997 Asymptotic and numerical solutions for the two-dimensional solidification of a liquid half-space. Proc. R. Soc. Land. A 453, 1397-1410.