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MODIFIED STEFAN CONDITION IN STEFAN PROBLEM

Problems of Atomic Science and Technology, 2023
The two-phase one-dimensional Stefan problem (SP) with the boundary between the phases moving with time is considered. The position of the boundary is determined by the modified Stefan condition (MSC), which is obtained from the original nonlinear diffusion equation by integrating over a thin transition layer, and by tending its thickness to zero. Upon
D.G. Bielykh   +2 more
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Stefan-like problems

Meccanica, 1993
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PRIMICERIO, MARIO   +2 more
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A Stochastic Stefan Problem

Journal of Theoretical Probability, 2011
The present article is concerned with a stochastic perturbation of the Stefan problem. More precisely, the authors deal with the stochastic partial differential equation \[ \begin{aligned} \frac{\partial u}{\partial t} (t,x) &= \frac{\partial^2 u}{\partial x^2}(t,x) + \alpha u(t,x) + u(t,x) d\zeta_t(x), \quad x > \beta(t),\\ \lim_{x \downarrow \beta(t)}
Kim, K, Zheng, Z, Sowers, RB
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The Super-Stefan problem

International Journal of Engineering Science, 1995
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Little, T. D., Showalter, R. E.
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Multidimensional Stefan Problems

SIAM Journal on Numerical Analysis, 1973
An implicit finite difference method for the multidimensional Stefan problem is discussed. The classical problem with discontinuous enthalpy is replaced by an approximate Stefan problem with continuous piecewise linear enthalpy. An implicit time approximation reduces this formulation to a sequence of monotone elliptic problems which are solved by ...
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Stefan problem

Journal of Mathematical Sciences, 2011
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Generalized Stefan problem

Journal of Engineering Physics and Thermophysics, 1992
A generalized Stefan problem is considered in which volume heat release during the freezing-out of bound moisture is taken into account. It is shown that the appearance of additional criteria does not prevent obtaining a self-similar solution. 9 refs., 1 fig.
A. A. Gukhman   +2 more
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Inverse Stefan problems

Journal of Engineering Physics and Thermophysics, 1993
We consider statements and a method for obtaining stationary solutions of boundary-value and coefficient inverse problems for a quasilinear Stefan problem.
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