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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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ON A MULTIPHASE STEFAN PROBLEM
The Quarterly Journal of Mechanics and Applied Mathematics, 1986The multiphase Stefan problem describing the melting (freezing) of a material with two distinct phase-change temperatures is considered. The material is assumed initially to be uniformly at the lowest (highest) fusion temperature. For spherical, cylindrical and planar geometries an integral formulation is obtained which generalizes results for the ...
Dewynne, Jeffrey N., Hill, James M.
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Stefan-like problems with curvature
Journal of Geometric Analysis, 2003Let \(B_1\) be the unit ball in \(\mathbb R^n\) centered at the origin and \(Q_1=B_1 \times (-1, 1)\). the authors consider a free boundary problem in \(Q_1\) resembling the Stefan problem in the fact that the heat equation is satisfied on both sides of the free boundary (with different diffusivities) and the free boundary separates the negativity and ...
I. Athanasopoulos +2 more
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International Journal of Heat and Mass Transfer, 2014
Abstract The solution of the classical one-dimensional Stefan problem predicts that in time t the melt front goes as s ( t ) ∼ t 1 2 . In the presence of heterogeneity, however, anomalous behavior can be observed where the time exponent n ≠ 1 2 .
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Abstract The solution of the classical one-dimensional Stefan problem predicts that in time t the melt front goes as s ( t ) ∼ t 1 2 . In the presence of heterogeneity, however, anomalous behavior can be observed where the time exponent n ≠ 1 2 .
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