Relationship between Neumann solutions for two-phase\n Lame-Clapeyron-Stefan problems with convective and temperature boundary\n conditions

2014/06/02 by Domingo A. Tarzia, Tarzia, Domingo Alberto
Computer Science · Materials Science · Mathematics · #35K06 #35R35 #80A22 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Solidification and crystal growth phenomena

paper · pdf · doi:10.48550/arxiv.1406.0552

openalex publication_date 2014/06/02 · openalex created_date 2025/10/27 · openalex updated_date 2026/07/28

Abstract

We obtain for the two-phase Lam 'e-Clapeyron-Stefan problem for a\nsemi-infinite material an equivalence between the temperature and convective\nboundary conditions at the fixed face in the case that an inequality for the\nconvective transfer coefficient is satisfied. Moreover, an inequality for the\ncoefficient which characterizes the solid-liquid interface of the classical\nNeumann solution is also obtained. This inequality must be satisfied for data\nof any phase-change material, and as a consequence the result given in Tarzia,\nQuart. Appl. Math., 39 (1981), 491-497 is also recovered when a heat flux\ncondition was imposed at the fixed face.\n

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