Large-amplitude behavior of the Grinfeld instability: a variational approach
@article{Kohlert2003LargeamplitudeBO,
title={Large-amplitude behavior of the Grinfeld instability: a variational approach},
author={P. Kohlert and K. Kassner and C. Misbah},
journal={The European Physical Journal B - Condensed Matter and Complex Systems},
year={2003},
volume={35},
pages={493-504}
}Abstract.In previous work, we have performed amplitude expansions of the continuum equations for the Grinfeld instability and carried them to high orders. Nevertheless, the approach turned out to be restricted to relatively small amplitudes. In this article, we use a variational approach in terms of multi-cycloid curves instead. Besides its higher precision at given order, the method has the advantages of giving a transparent physical meaning to the appearance of cusp singularities and of not… CONTINUE READING
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