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Nonlinear Concepts in the Analysis of Solids and Structures
The present treatise deals with computational methods for the analysis of solids and structures on the basis of the finite element approach. It...
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Approximation of multidimensional Stefan-like problems via hyperbolic relaxation
An effective time delay in the governing equations, as proposed in [8], is further examined here. The resulting hyperbolic Stefan problem is mainly...
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Melting of a long cylinder due to an axisymmetric hot spot
By employing a new embedding technique, a short-time analytical solution for the melting of a long cylinder due to an axisymmetric hot spot is...
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Dynamic Model of a Metallurgical Shaft Reactor with Irreversible Chemical Kinetics and Moving Lower Boundary
A (preliminary) unidimensional dynamic model for simulating a metallurgical reactor has been implemented. A system of nonlinear hyperbolic...
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Finite element methods for unsteady solidification problems arising in prediction of morphological structure
Galerkin finite element methods are presented for calculation of the dynamic transitions between planar and deep two-dimensional cellular interface...
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Finite-element methods for analysis of the dynamics and control of Czochralski crystal growth
Numerical methods are presented for solution of the complex moving-boundary problem described by a thermal-capillary model for Czochralski crystal...
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A Stefan problem in combustion
This paper deals with a mathematical model of a condensed two-phase combustion process which describes combustion of solid materials in which melting...
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Thermodynamic entropy models of the frozen-wall system (I)
In this paper, the author describes, and comments on the traditional thermal theory on artificial ground freezing, and points out its important...
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Axisymmetric melting of a long cylinder due to an infinite flux
By employing a new embedding technique, a short-time analytical solution for the axisymmetric melting of a long cylinder due to an infinite flux is...
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Error estimates for multidimensional singular parabolic problems
We consider a rather general class of singular parabolic problems; multidimensional two-phase Stefan problem and porous-medium equation involving...
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Instability of a planar liquid layer in an alternating longitudinal magnetic field with non-zero mean
The conducting liquid interface is found to undulate in an alternating magnetic field. It was shown earlier that if M = B 0 2 /μηω, B 0 , ω, μ and η being...
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Numerical solution of an inverse problem connected with continuous casting of steel
In continuous casting of steel, the solidification process can be influenced by external cooling and by the casting speed. We describe an algorithm...
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Flat Space. Fourier Analysis on ℝ m
There was no time to waste. It’s possible to grasp alef-null-sized collections once you’re in your aethereal body…but you need some to look at. My...
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Introductory Typical Examples
In the following we wish to present many concrete examples, foregoing extensive technical details, whose solutions have contributed essentially to...
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On laminar steady flow in sinusoidal channels
In the present paper a perturbation method is developed in order to study viscous laminar flows through wavy-walled channels. The stream function of...
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The asymptotic solution of a kind of Stefan problem
In this paper, a kind of Stefan problem subject to general initial condition is studied. The slab considered is divided into three regions. There is...