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

1 January 1992

journal article
Published by Oxford University Press (OUP) in IMA Journal of Applied Mathematics

Vol. 49 (1) , 61-72
https://doi.org/10.1093/imamat/49.1.61

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 ε, which measures the range of intermolecular forces, goes to zero.

Keywords

STATIONARY SOLUTIONS
BOUNDARY VALUE PROBLEM
AUTHORS PROVE
MONOTONICITY THEOREM
DIMENSIONAL PHASE
INTERMOLECULAR FORCES
PHASE FIELD
FIELD MODEL
BEHAVIOUR

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