Stationary Fix-Caginalp equation with non-local term

Takashi Suzuki; Souhei Tasaki

doi:10.1016/j.na.2008.12.007

Stationary Fix-Caginalp equation with non-local term

Takashi Suzuki, Souhei Tasaki

Creative Interdisciplinary Research Division

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12 Citations (Scopus)

Abstract

We study the Fix-Caginalp equation describing non-isothermal solid-liquid phase transition. First, we formulate a thermally closed stationary state as a nonlinear eigenvalue problem with a non-local term. Then, some results on multiple existence, stability, and bifurcation of the solution are proven.

Original language	English
Pages (from-to)	1329-1349
Number of pages	21
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	71
Issue number	3-4
DOIs	https://doi.org/10.1016/j.na.2008.12.007
Publication status	Published - 2009 Aug 1

Keywords

Dual variation
Fix-Caginalp model
Non-isothermal phase transition
Non-local elliptic problem

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.na.2008.12.007

Cite this

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title = "Stationary Fix-Caginalp equation with non-local term",

abstract = "We study the Fix-Caginalp equation describing non-isothermal solid-liquid phase transition. First, we formulate a thermally closed stationary state as a nonlinear eigenvalue problem with a non-local term. Then, some results on multiple existence, stability, and bifurcation of the solution are proven.",

keywords = "Dual variation, Fix-Caginalp model, Non-isothermal phase transition, Non-local elliptic problem",

author = "Takashi Suzuki and Souhei Tasaki",

year = "2009",

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doi = "10.1016/j.na.2008.12.007",

language = "English",

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journal = "Nonlinear Analysis, Theory, Methods and Applications",

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AU - Suzuki, Takashi

AU - Tasaki, Souhei

PY - 2009/8/1

Y1 - 2009/8/1

N2 - We study the Fix-Caginalp equation describing non-isothermal solid-liquid phase transition. First, we formulate a thermally closed stationary state as a nonlinear eigenvalue problem with a non-local term. Then, some results on multiple existence, stability, and bifurcation of the solution are proven.

AB - We study the Fix-Caginalp equation describing non-isothermal solid-liquid phase transition. First, we formulate a thermally closed stationary state as a nonlinear eigenvalue problem with a non-local term. Then, some results on multiple existence, stability, and bifurcation of the solution are proven.

KW - Dual variation

KW - Fix-Caginalp model

KW - Non-isothermal phase transition

KW - Non-local elliptic problem

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M3 - Article

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JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

SN - 0362-546X

IS - 3-4

ER -

Stationary Fix-Caginalp equation with non-local term

Abstract

Keywords

ASJC Scopus subject areas

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