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Pré-Publication, Document De Travail Année : 2009

Stationary Solutions to Phase Field Crystal Equations


This paper is devoted to the analytical and numerical study of the stationary solutions of the one dimensional Phase Field Crystal Equation. This new model recently introduced by K. Elder and M. Grant describes phase transformations at atomistic level on large time scales. By using bifurcation methods, we investigate quantitative and qualitative properties of these solutions: multiplicity, stability, periodicity. Quite unusual bifurcation diagrams are obtained by numerical simulations.
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hal-00407353 , version 1 (24-07-2009)


  • HAL Id : hal-00407353 , version 1


Morgan Pierre, Arnaud Rougirel. Stationary Solutions to Phase Field Crystal Equations. 2009. ⟨hal-00407353⟩
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