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The Stefan problem in heterogeneous media - MaRDI portal

The Stefan problem in heterogeneous media (Q919203)

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scientific article; zbMATH DE number 4159312
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English
The Stefan problem in heterogeneous media
scientific article; zbMATH DE number 4159312

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    The Stefan problem in heterogeneous media (English)
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    1989
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    The nonlinear heat-transfer equation in discontinuously heterogeneous, but piecewise homogeneous media is investigated. The existence of a weak solution in an enthalpy formulation is proved by using a Rothe method and a certain regularization of the contact conditions between the homogeneous subdomains. Phase transitions (described as a Stefan problem) and nonlinear boundary conditions are covered, too. Besides, the equation need not be of a strongly parabolic type.
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    Stefan problem
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    heterogeneous media
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