We consider a two phase Stefan problem with a reaction term in arbitrary space dimension and prove that as the latent heat coefficient tends to zero, its weak solution converges to the weak solution of the corresponding problem with zero latent heat, which is obtained as the spatial segregation limit of a competition-diffusion system. In particular, we obtain a uniform convergence result for the corresponding interfaces in the one-dimensional case. (C) 2002 Elsevier Science Ltd. All rights reserved.
机构:
Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
Wuhan Univ, Hubei Key Lab Computat Sci, Wuhan 430072, Peoples R ChinaWuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
机构:
Banaras Hindu Univ, Dept Math Sci, Indian Inst Technol, Varanasi 221005, Uttar Pradesh, IndiaBanaras Hindu Univ, Dept Math Sci, Indian Inst Technol, Varanasi 221005, Uttar Pradesh, India