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J Clin Epidemiol
Spick M, Onoja A, Harrison C, Stender S, Byrne J, Geifman N.   +5 more
europepmc   +1 more source

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
openaire   +4 more sources

Classical two-phase Stefan problem for spheres

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2008
The classical Stefan problem for freezing (or melting) a sphere is usually treated by assuming that the sphere is initially at the fusion temperature, so that heat flows in one phase only.
Scott W Mccue, Bisheng Wu, James M Hill
exaly   +2 more sources

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Stefan problem with convection

Applied Mathematics and Computation, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fahuai Yi, T. M. Shih
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Stefan-like problems

Meccanica, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
PRIMICERIO, MARIO, O. OLEINIK, E. RADKEVICH   +2 more
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The Stefan Problem

, 1992
The Stefan Problem (Kirchen Der ...
Meirmanov, AM, Niezgodka, Marek, Crowley, Anna   +2 more
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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, S.F. Skoromnaya, V.I. Tkachenko   +2 more
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ON A MULTIPHASE STEFAN PROBLEM

The Quarterly Journal of Mechanics and Applied Mathematics, 1986
The 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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The Super-Stefan problem

International Journal of Engineering Science, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Little, T. D., Showalter, R. E.
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A Generalized Stefan Problem in a Diffusion Model with Evaporation [PDF]

SIAM Journal on Applied Mathematics, 2000
A model for species diffusion is presented,with evaporation at a moving free boundary. The resulting problem resembles a one-phase Stefan problem with superheating,but the usual Stefan condition at the moving boundary is replaced by a version which,in ...
van de Fliert, B.W., van der Hout, R.
exaly   +2 more sources