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Martínez Alonso, Luis and Medina Reus, Elena (2009) Regularization of Hele-Shaw flows, multiscaling expansions and the Painlevé I equation. Chaos solitons & Fractals, 41 (3). pp. 1284-1293. ISSN 0960-0779
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Official URL: http://dx.doi.org/10.1016/j.chaos.2008.05.020
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 tritronquee solution of the Painleve-I equation turns out to provide the leading term of the regularization.
| Item Type: | Article |
|---|---|
| Additional Information: | ©2008 Elsevier Ltd. All rights reserved. |
| Uncontrolled Keywords: | Korteweg-devries equation; Small dispersion limit; Integrable hierarchies; Gravity; Dynamics; Strings |
| Subjects: | Sciences > Physics > Physics-Mathematical models Sciences > Physics > Mathematical physics |
| ID Code: | 34238 |
| Deposited On: | 17 Nov 2015 18:56 |
| Last Modified: | 10 Dec 2018 15:09 |
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