Published August 15, 2009
| Version v1
Journal article
Regularization of Hele-Shaw flows, multiscaling expansions and the Painleve-I equation
Creators
- 1. Departamento de Fisica Teorica II, Universidad Complutense, E28040 Madrid (Spain)
- 2. Departamento de Matematicas, Universidad de Cadiz, E11510 Puerto Real, Cadiz (Spain)
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 tritronquee solution of the Painleve-I equation turns out to provide the leading term of the regularization.
Availability note (English)
Available from http://dx.doi.org/10.1016/j.chaos.2008.05.020Additional details
Identifiers
- DOI
- 10.1016/j.chaos.2008.05.020;
- PII
- S0960-0779(08)00250-6;
Publishing Information
- Journal Title
- Chaos, Solitons and Fractals
- Journal Volume
- 41
- Journal Issue
- 3
- Journal Page Range
- p. 1284-1293
- ISSN
- 0960-0779
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 41014447
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING;
- Descriptors DEI
- EQUATIONS; INTEGRAL CALCULUS; MATHEMATICAL SOLUTIONS
- Descriptors DEC
- MATHEMATICS
Optional Information
- Copyright
- Copyright (c) 2008 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.