Regularization of Hele-Shaw flows, multiscaling expansions and the Painleve I equation

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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
13 pages, 3 figures

Keywords

Mathematical Physics, Exactly Solvable and Integrable Systems, 35Q53

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/140376

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0710.3731
 http://arxiv.org/abs/0710.3731

Collections

arXiv