Communications in Mathematical Sciences

Volume 7 (2009)

Number 2

A generalization of the three-dimensional MacPherson-Srolovitz formula

Pages: 511 – 520

(Fast Communication)



Qiang Du

Thinh Le


The MacPherson-Srolovitz formula has been recently established as a generalization of the two dimensional von Neumann relation for microstructure coarsening. In this paper, we present an extension of the MacPherson-Srolovitz formula under more general junction conditions.


Microstructure evolution; three dimensional grain growth; grain volume kinetics; Von Neumann-Mullins formula; Herring condition; mean width

2010 Mathematics Subject Classification

51P05, 74N15, 74N20

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