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Showalter, R. E.

Mathematical formulation of the Stefan problem. (English) Zbl 0506.76103

Int. J. Eng. Sci. 20, 909-912 (1982).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0506.76103

Cited in 6 Documents

MSC:

76T99 Multiphase and multicomponent flows

Keywords:

Stefan problem; solid-liquid phase change; melting temperature; multi- valued Heaviside function; internally distributed sources of heat
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References:

[1] Brezis, H., (Browder, F. E., Nonlinear Functional Analysis. Nonlinear Functional Analysis, Amer. Math. Soc., Proc. Symp. Pure Math., Vol. 18 (1970)), 28-38, Providence, RI · Zbl 0231.47034
[2] Dibenedetto, E.; Showalter, R. E., SIAM J. Math. Anal, 12, 731 (1981) · Zbl 0477.47037
[3] Jerome, J. W., J. Diff. Eqn., 26, 240 (1977) · Zbl 0444.35048
[4] Glowinski, R.; Lions, J. L.; Tremolieres, R., Analyse Numerique des Inequations Variationnelles (1976), Dunod: Dunod Paris · Zbl 0358.65091
[5] Lions, J. L., Sur Quelques Questions D’Analyse, de Mecanique et de Controle Optimal (1978), Presses de l’Universite de Montreal
[6] (Ockendon, J. R.; Hodgkins, W. R., Moving Boundary Problems in Heat Flow and Diffusion (1975), Clarendon Press: Clarendon Press Oxford) · Zbl 0295.76064
[7] Showalter, R. E., SIAM J. Math. Anal., 6, 25 (1975) · Zbl 0268.35045
[8] Wilson, D. G.; Solomon, A. P.; Trent, J. S., A Bibliography on Moving Boundary Problems with Key Word Index (1979), Oak Ridge National Laboratory
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