title: Selection theory of free dendritic growth in a potential flow.
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 [Fischaleck, Kassner, Europhys. Lett. 81, 54004 (2008)], thus exhibiting the capability of the method to extend mathematical rigor to more complex problems than hitherto accessible.
authors.affiliation: Institut für Theoretische Physik, Otto-von-Guericke-Universität Magdeburg, Germany. klaus.kassner@ovgu.de
authors.forename: Martin
authors.initials: M
authors.lastname: von Kurnatowski
authors.forename: Thomas
authors.initials: T
authors.lastname: Grillenbeck
authors.forename: Klaus
authors.initials: K
authors.lastname: Kassner