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# A competition-diffusion system approximation to the classical two-phase Stefan problem

Japan Journal of Industrial and Applied Mathematics (Impact Factor: 0.45). 01/2001; 18(2):161-180. DOI:10.1007/BF03168569

ABSTRACT A new type of competition-diffusion system with a small parameter is proposed. By singular limit analysis, it is shown that
any solution of this system converges to the weak solution of the two-phase Stefan problem with reaction terms. This result
exhibits the relation between an ecological population model and water-ice solidification problems.

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