Regularization of Hele-Shaw flows, multiscaling expansions and the Painleve I equation
Mathematical Physics
2007-10-22 v1 math.MP
Exactly Solvable and Integrable Systems
Abstract
Critical processes of ideal integrable models of Hele-Shaw flows are considered. A regularization method based on multiscaling expansions of solutions of the KdV and Toda hierarchies characterized by string equations is proposed. Examples are exhibited in which the tritronq'ee solution of the Painleve-I equation turns out to provide the leading term of the regularization
Keywords
Cite
@article{arxiv.0710.3731,
title = {Regularization of Hele-Shaw flows, multiscaling expansions and the Painleve I equation},
author = {Luis Martinez Alonso and E. Medina},
journal= {arXiv preprint arXiv:0710.3731},
year = {2007}
}
Comments
13 pages, 3 figures