International Journal of Mathematics and Mathematical Sciences
Volume 7 (1984), Issue 3, Pages 549-563
doi:10.1155/S0161171284000612
The quasi-stationary approximation for the Stefan problem with a convective boundary condition
A.D. Solomon1
, D.G. Wilson1
and V. Alexiades3
1Mathematics and Statistics Research Engineering, Physics and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge 37830, Tennessee, USA
3Department of Mathematics, The University of Tennessee, Knoxville 37996-1300, Tennessee, USA
Abstract
We show that the solution to the Stefan problem with a convective boundary condition tends to the quasi-stationary approximation as the specific heat tends to zero. Additional properties of the approximation are given, and some examples are presented.