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Multidimensional two-phase quasistationary stefan problem

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Abstract

Existence and uniqueness of the classic solution to a two-dimensional quasistationary Stefan problem are considered. The family of model problems dependent on the parameter ε>0 which defines a heat conductivity of a matter in the direction of thex-axis is analysed. When ε→0 it is approximated by the approximate model problem having less dimensions. Analogous results are also valid for a three-dimensional problem.

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  1. Novosibirsk State University, 630090, Novosibirsk, USSR

    Boris Zaltzman

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  1. Boris Zaltzman
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Zaltzman, B. Multidimensional two-phase quasistationary stefan problem. Manuscripta Math 78, 287–301 (1993). https://doi.org/10.1007/BF02599314

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  • DOI: https://doi.org/10.1007/BF02599314

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