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MODIFIED STEFAN CONDITION IN STEFAN PROBLEM
Problems of Atomic Science and Technology, 2023The 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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Meccanica, 1993
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PRIMICERIO, MARIO +2 more
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PRIMICERIO, MARIO +2 more
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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 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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International Journal of Engineering Science, 1995
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Little, T. D., Showalter, R. E.
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Little, T. D., Showalter, R. E.
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Multidimensional Stefan Problems
SIAM Journal on Numerical Analysis, 1973An 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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Journal of Mathematical Sciences, 2011
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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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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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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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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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