Reaction-diffusion system approximations to the classical two-phase Stefan problem are considered in the present study. A reaction-diffusion system approximation to the Stefan problem has been proposed by Hilhorst et al. from an ecological point of view, and they have given convergence results for the system. In the present study, a new reaction-diffusion system approximation to the Stefan problem is proposed based on regularization of the enthalpy-temperature constitutive relation. For a deeper understanding of the approximation mechanism by means of reaction-diffusion systems, the rates of convergence for both the solutions and the free boundaries are investigated.
|ジャーナル||Nonlinear Analysis, Theory, Methods and Applications|
|出版ステータス||出版済み - 11月 15 2008|
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