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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

A one-phase hyperbolic Stefan problem in multi-dimensional space


Author: De Ning Li
Journal: Trans. Amer. Math. Soc. 318 (1990), 401-415
MSC: Primary 35R35; Secondary 80A20
MathSciNet review: 1005936
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Abstract: The hyperbolic heat transfer model is obtained by replacing the classical Fourier's law with the relaxation relation $ \tau \vec qt + \vec q = - k\nabla T$. The sufficient and necessary conditions are derived for the local existence and uniqueness of classical solutions for multi- $ {\text{D}}$ Stefan problem of hyperbolic heat transfer model where phase change is accompanied with delay of latent heat storage.


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DOI: https://doi.org/10.1090/S0002-9947-1990-1005936-7
Keywords: Hyperbolic equation, heat transfer, Stefan problem
Article copyright: © Copyright 1990 American Mathematical Society