[PDF][PDF] Remarks on the one-phase Stefan problem for the heat equation with the flux prescribed on the fixed boundary

JR Cannon, M Primicerio - Journal of Mathematical Analysis and …, 1971 - core.ac.uk
JR Cannon, M Primicerio
Journal of Mathematical Analysis and Applications, 1971core.ac.uk
… This paper is concerned with the following one-phase Stefan problem: … As is well
known, the problem (ll)-(1.5) is a mathematical description for the unidimensional heat
conduction in a plane infinite slab of homogeneous thermally isotropic material with a
phase occurring at one limiting plane and the thermal flux prescribed on the other. For sake
of simplicity, in writing down (1. l)-( 1.5) we choose a system of variables such that the
thermal coefficients (conductivity, … Next, we will apply the retarded argument technique to …
Lu= 24,.-Ut= 0, in 0< x< s (t), 0< td T,(1.1) u. 40, t)= fqt), O< t< TT;(1.2)
4% 0)=@ p (x), O< x< b,(1.3)
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