A monotonicity theorem and its application to stationary solutions of the phase field model

M. Grinfeld; J. E. Furter; J. C. Eilbeck

doi:10.1093/imamat/49.1.61

A monotonicity theorem and its application to stationary solutions of the phase field model

M. Grinfeld, J. E. Furter, J. C. Eilbeck

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10 Citations (Scopus)

Abstract

In this paper the authors prove a monotonicity theorem for solutions of a boundary value problem and use it to investigate the behaviour of stationary solutions of the one-dimensional phase field model as e, which measures the range of intermolecular forces, goes to zero. © 1992 Oxford University Press.

Original language	English
Pages (from-to)	61-72
Number of pages	12
Journal	IMA Journal of Applied Mathematics
Volume	49
Issue number	1
DOIs	https://doi.org/10.1093/imamat/49.1.61
Publication status	Published - 1992

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title = "A monotonicity theorem and its application to stationary solutions of the phase field model",

abstract = "In this paper the authors prove a monotonicity theorem for solutions of a boundary value problem and use it to investigate the behaviour of stationary solutions of the one-dimensional phase field model as e, which measures the range of intermolecular forces, goes to zero. {\textcopyright} 1992 Oxford University Press.",

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AU - Furter, J. E.

AU - Eilbeck, J. C.

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AB - In this paper the authors prove a monotonicity theorem for solutions of a boundary value problem and use it to investigate the behaviour of stationary solutions of the one-dimensional phase field model as e, which measures the range of intermolecular forces, goes to zero. © 1992 Oxford University Press.

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DO - 10.1093/imamat/49.1.61

M3 - Article

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VL - 49

SP - 61

EP - 72

JO - IMA Journal of Applied Mathematics

JF - IMA Journal of Applied Mathematics

IS - 1

ER -

A monotonicity theorem and its application to stationary solutions of the phase field model

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