Results 251 to 260 of about 390,016 (288)
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2020
While in Sect. 4.4 we already dealt with an approximation of the influence of the solid phase, where non-monotonic interface dynamics arose due to incorporating a heat loss at the interface in the one-phase Stefan model, such a heat loss should be exactly modeled by a PDE for the solid phase and with the effect of the heat flux from the solid phase on ...
Shumon Koga, Miroslav Krstic
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While in Sect. 4.4 we already dealt with an approximation of the influence of the solid phase, where non-monotonic interface dynamics arose due to incorporating a heat loss at the interface in the one-phase Stefan model, such a heat loss should be exactly modeled by a PDE for the solid phase and with the effect of the heat flux from the solid phase on ...
Shumon Koga, Miroslav Krstic
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Stefan Problem with Surface Tension
1989This paper deals with models of phase transition in liquid-solid systems accounting for latent heat release or absorption, heat diffusion and surface tension effects. These phenomena are described by introducing the classical Gibbs-Thomson law into the two-phase Stefan problem.
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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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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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Acta Mechanica, 1982
The problem of solidification of two semi-infinite materials with arbitrarily prescribed initial conditions is studied. This is different from the classical Stefan problem; there are no prescribed boundary conditions. It is found that there are, depending on the prescribed initial conditions, four different possibilities: (i) solidification starts ...
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The problem of solidification of two semi-infinite materials with arbitrarily prescribed initial conditions is studied. This is different from the classical Stefan problem; there are no prescribed boundary conditions. It is found that there are, depending on the prescribed initial conditions, four different possibilities: (i) solidification starts ...
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Two-temperature Stefan problem
Physics Letters A, 1995Abstract We consider a two-temperature model for ultrafast melting and solidification observed in pulsed-laser-irradiated materials. The model takes into account energy exchange between the fast relaxing mode related to heat conduction and the slow mode associated with structural rearrangement.
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1980
To solve the two-phase inverse Stefan-problem a numerical method based on an approximation-theoretical approach is proposed. Our procedure consists in a Gauss-Newton-type algorithm adapted to this situation. For that reason we use certain integral equations to derive necessary conditions describing a Frechet-derivative representation of the free ...
Karl-Heinz Hoffmann +1 more
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To solve the two-phase inverse Stefan-problem a numerical method based on an approximation-theoretical approach is proposed. Our procedure consists in a Gauss-Newton-type algorithm adapted to this situation. For that reason we use certain integral equations to derive necessary conditions describing a Frechet-derivative representation of the free ...
Karl-Heinz Hoffmann +1 more
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Mathematical formulation of the stefan problem
International Journal of Engineering Science, 1982Abstract 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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Navigating financial toxicity in patients with cancer: A multidisciplinary management approach
Ca-A Cancer Journal for Clinicians, 2022Grace Li Smith +2 more
exaly
1989
A large class of mathematical models for phase change problems in thermo-diffusion phenomena belong to the family of the so-called Stefan problems, after the Austrian mathematical-physicist Joseph Stefan, who, exactly one century ago, published a series of papers on some of these problems [St].
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A large class of mathematical models for phase change problems in thermo-diffusion phenomena belong to the family of the so-called Stefan problems, after the Austrian mathematical-physicist Joseph Stefan, who, exactly one century ago, published a series of papers on some of these problems [St].
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Tolerance and resistance of microbial biofilms
Nature Reviews Microbiology, 2022Oana Ciofu +2 more
exaly