Results 261 to 270 of about 43,457 (303)

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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ON STEFAN PROBLEM WITH PRESCRIBED CONVECTION

Acta Mathematica Scientia, 1994
Summary: This paper deals with the equation: \[ \partial_ t \beta(u)+ \nabla[ \vec v\beta(u)- \nabla u]= f \quad \text{in } D'(Q_ T), \] where \(Q_ T= \Omega\times (0,T]\), \(\Omega\) is a bounded domain with piecewise smooth boundary, \(\beta\) is maximal monotone graph, \(\vec v: Q_ T\to \mathbb{R}^ n\).
Yi, Fahuak, Qiu, Yipin
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On the Stefan problem

Russian Mathematical Surveys, 1985
This article is a survey of basic methods and results for the multidimensional Stefan problem, over the last three decades. It starts with a historical survey of the modern state of investigation of this nonlinear problem with free boundary of thermodynamical origin (introduction). Then in Ch.
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Stefan problem

Journal of Mathematical Sciences, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Stefan-like problems with curvature

Journal of Geometric Analysis, 2003
Let \(B_1\) 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, L. Caffarelli, SALSA, SANDRO   +2 more
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A Mushy Region in a Stefan Problem

IMA Journal of Applied Mathematics, 1983
This paper discusses possible models for mushy regions which may be formed when some material is melted by internal volume heat sources. The authors firstly consider a one-dimensional model in which free boundaries originate from nucleation sites when they attain the phase change temperature.
Lacey, A. A., Taylor, A. B.
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Hölder Estimates for the Stefan Problem

SIAM Journal on Mathematical Analysis
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An Enthalpty Formulation of the Stefan Problem

SIAM Journal on Numerical Analysis, 1982
In this paper the implicit time discretization of $E_t - \nabla \cdot K\nabla T = f$, the enthalpy formulation of the Stef an problem, is considered. This generates the algebraic system $E + A\beta (E) = \eta $, where E, $\beta (E)$, $\eta \in {}^ + \mathbb{R}^L $, A is an M-matrix and $\beta (E)$ is the “inverse” of the enthalpy function.
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Stefan Problem with Phase Relaxation

IMA Journal of Applied Mathematics, 1985
''Taking account of a microscopical model for dynamical supercooling and superheating effects, the usual equilibrium condition prescribing a fixed temperature at the interface between two phases is replaced by relaxation dynamics for the phase variable \(\chi\), representing the concentration of one of the two phases....
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Mathematical formulation of the stefan problem

International Journal of Engineering Science, 1982
Abstract The Stefan problem describes the conduction of heat in a medium involving a solid-liquid phase change at a prescribed melting temperature. Considerations of physical, mathematical and numerical experiences with such problems all imply that enthalpy (not temperature) is the natural dependent variable to specify the solution.
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