van der Waals-Cahn-Hilliardin energiafunktionaalin minimointiongelma

Tutkielmassa esitellään van der Waals-Cahn-Hilliardin energiafunktionaalin minimointiongelmaa, todistetaan ratkaisun olemassaolo, johdetaan ongelmaan liittyvät Euler-Lagrangen yhtälöt sekä löydetään minimointiongelmalle eksplisiittinen ratkaisu yksiulotteisessa tapauksessa.

Bibliographic Details
Main Author: Kuisma, Miikka
Other Authors: Matemaattis-luonnontieteellinen tiedekunta, Faculty of Sciences, Matematiikan ja tilastotieteen laitos, Department of Mathematics and Statistics, Jyväskylän yliopisto, University of Jyväskylä
Format: Master's thesis
Language:fin
Published: 2019
Subjects:
Online Access: https://jyx.jyu.fi/handle/123456789/63170
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author Kuisma, Miikka
author2 Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Matematiikan ja tilastotieteen laitos Department of Mathematics and Statistics Jyväskylän yliopisto University of Jyväskylä
author_facet Kuisma, Miikka Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Matematiikan ja tilastotieteen laitos Department of Mathematics and Statistics Jyväskylän yliopisto University of Jyväskylä Kuisma, Miikka Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Matematiikan ja tilastotieteen laitos Department of Mathematics and Statistics Jyväskylän yliopisto University of Jyväskylä
author_sort Kuisma, Miikka
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description Tutkielmassa esitellään van der Waals-Cahn-Hilliardin energiafunktionaalin minimointiongelmaa, todistetaan ratkaisun olemassaolo, johdetaan ongelmaan liittyvät Euler-Lagrangen yhtälöt sekä löydetään minimointiongelmalle eksplisiittinen ratkaisu yksiulotteisessa tapauksessa.
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spellingShingle Kuisma, Miikka van der Waals-Cahn-Hilliardin energiafunktionaalin minimointiongelma van der Waals-Cahn-Hilliardin energiafunktionaali minimointiongelma Sobolev-avaruus funktionaali Matematiikka Mathematics 4041 variaatiolaskenta matematiikka
title van der Waals-Cahn-Hilliardin energiafunktionaalin minimointiongelma
title_full van der Waals-Cahn-Hilliardin energiafunktionaalin minimointiongelma
title_fullStr van der Waals-Cahn-Hilliardin energiafunktionaalin minimointiongelma van der Waals-Cahn-Hilliardin energiafunktionaalin minimointiongelma
title_full_unstemmed van der Waals-Cahn-Hilliardin energiafunktionaalin minimointiongelma van der Waals-Cahn-Hilliardin energiafunktionaalin minimointiongelma
title_short van der Waals-Cahn-Hilliardin energiafunktionaalin minimointiongelma
title_sort van der waals cahn hilliardin energiafunktionaalin minimointiongelma
title_txtP van der Waals-Cahn-Hilliardin energiafunktionaalin minimointiongelma
topic van der Waals-Cahn-Hilliardin energiafunktionaali minimointiongelma Sobolev-avaruus funktionaali Matematiikka Mathematics 4041 variaatiolaskenta matematiikka
topic_facet 4041 Matematiikka Mathematics Sobolev-avaruus funktionaali matematiikka minimointiongelma van der Waals-Cahn-Hilliardin energiafunktionaali variaatiolaskenta
url https://jyx.jyu.fi/handle/123456789/63170 http://www.urn.fi/URN:NBN:fi:jyu-201903181881
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