Stefan problems with kinetic conditions at the moving boundary

Kód výsledku v IS VaVaI

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Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Stefan problems with kinetic conditions at the moving boundary

Popis výsledku v původním jazyce

The thesis studies a two phase problems of Stefan type in one space dimension, where the equilibrium condition is replaced by a kinetic condition. The thesis defines a weak solution of the problem with parameters $c_lneq c_s$ and studies its relation tothe classical solution. The thesis is finished by a local existence theorem for a weak solution of a Stefan problem with a singularly perturbed kinetic condition at the moving boundary for certain input data. The text is divided into four chapters. In the opening chapter, the Stefan problem is introduced with several examples of possible modifications, terminology, and above all with the goal of the thesis. The second chapter is an overview of the problems of Stefan type and describes the state of theart in the field. The chapter starts with various formulations of the problem, for example, using sharp-front interface, level-set interface, enthalpy, or phase-field. Then, the survey of the theoretical results on the Stefan problem and

Název v anglickém jazyce

Stefan problems with kinetic conditions at the moving boundary

Popis výsledku anglicky

The thesis studies a two phase problems of Stefan type in one space dimension, where the equilibrium condition is replaced by a kinetic condition. The thesis defines a weak solution of the problem with parameters $c_lneq c_s$ and studies its relation tothe classical solution. The thesis is finished by a local existence theorem for a weak solution of a Stefan problem with a singularly perturbed kinetic condition at the moving boundary for certain input data. The text is divided into four chapters. In the opening chapter, the Stefan problem is introduced with several examples of possible modifications, terminology, and above all with the goal of the thesis. The second chapter is an overview of the problems of Stefan type and describes the state of theart in the field. The chapter starts with various formulations of the problem, for example, using sharp-front interface, level-set interface, enthalpy, or phase-field. Then, the survey of the theoretical results on the Stefan problem and

Druh

O - Ostatní výsledky

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

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Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2008

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů