Selection theory of free dendritic growth in a potential flow
Materials Science
2017-03-13 v1
Abstract
The Kruskal-Segur approach to selection theory in diffusion-limited or Laplacian growth is extended via combination with the Zauderer decomposition scheme. This way nonlinear bulk equations become tractable. To demonstrate the method, we apply it to two-dimensional crystal growth in a potential flow. We omit the simplifying approximations used in a preliminary calculation for the same system [T. Fischaleck, K. Kassner, EPL 81, 54004 (2008)], thus exhibiting the capability of the method to extend mathematical rigor to more complex problems than hitherto accessible.
Keywords
Cite
@article{arxiv.1302.6892,
title = {Selection theory of free dendritic growth in a potential flow},
author = {Martin von Kurnatowski and Thomas Grillenbeck and Klaus Kassner},
journal= {arXiv preprint arXiv:1302.6892},
year = {2017}
}
Comments
5 figures, submitted to Phys. Rev. E