Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 9 of 9 for “"Stefan-Problem"”.
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A Spatial Stefan Problem Modified by Natural Convection: Melting Around a Horizontal Cylinder
Many important problems in engineering science, when formulated in mathematical terms, involve very irregularly shaped boundaries which move with time. Such problems require that the position of the boundaries be determined as part of the solution. Obvious examples can be found in the growth of …
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New results in stochastic moving boundary problems
Moving boundary problems arise in many areas of science and engineering and they are of great importance in the areas of partial differential equations (PDEs) since they characterize phase change phenomena where a system has two phases such as solid and liquid. However, unlike other PDEs in a …
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Schur's Complement and Discontinuous Galerkin Methods for Domain Decomposition Solvers and Plasticity and Interface Evolution Analyses
… we demonstrate our method by analyzing the Stefan problem of solidification.
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Kontrolle freier Ränder bei der Erstarrung von Kristallschmelzen
… Der Erstarrungsprozess wird durch ein Zweiphasen-Stefan-Problem mit durch Konvektion und Lorentzkräfte getriebener Strömung beschrieben. Der freie Rand wird als Graph formuliert. Das Kontrollziel besteht in der Ansteuerung eines gewünschten Verlaufs des freien Randes. Als Kontrollgrößen dient die …
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A sharp interface isogeometric strategy for moving boundary problems
… calculation.</p> <p>As a second application, the Stefan problem is modeled with a hybrid function/derivative enriched interface. Since the interface geometry is explicitly defined, normals and curvatures can be analytically obtained at any point on the interface, allowing for complex boundary …
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Control of constrained moving-boundary process with application to steel continuous casting
… for coping with the nonlinear moving boundary problem dynamics. The present work provides several key building blocks towards a comprehensive solution of the continuous steel casting feedback control problem. In the first part of this dissertation, a mathematical model of the process and a …
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Travelling Wave Analysis of a Nonlinear Diffusion Equation
… a nonlinear diffusion free boundary (nonlinear Stefan) problem, indicate a travelling wave behaviour that is subsequently investigated using a travelling wave analysis. Considering first a simplified linear problem, we perform a travelling wave analysis that identifies a small parameter, the …
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Brownian particles interacting with a Newtonian Barrier: Skorohod maps and their use in solving a PDE with free boundary, strong approximation, and hydrodynamic limits.
… resulting PDE is similar to the solution of the Stefan problem. As mentioned, both existence and uniqueness of the PDE are done using stochastic methods; the uniqueness is done using a novel, and new, coupling method. In the second chapter, we give a strong approximation of Brownian motion with …
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Partial singular integro-differential equations models for dryout in boilers
… vapour core is modelled by proposing a suitable Stefan problem. Appropriate boundary conditions for the model, at the onset of the annular flow region and at the dryout point, are stated and discussed. The resulting unsteady nonlinear singular integro-differential equation for the liquid film …