Second order asymptotics for the propagation speed of interfaces in the Allen-Cahn phase field model for elastic solids

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Abstract

For a phase field model, which consists of the elasticity equations coupled to the Allen-Cahn equation, we state an asymptotic expansion for the propagation speed of the diffusive interface. The error of the expansion is of order η2, where η is the width of the interface. (© 2012 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)

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