Regularization of Hele-Shaw flows, multiscaling expansions and the Painlevé I equation
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 Painle...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2009 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/44793 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/44793 |
| Access Level: | acceso abierto |
| Palabra clave: | 51-73 Korteweg-devries equation Small dispersion limit Integrable hierarchies Gravity Dynamics Strings Física-Modelos matemáticos Física matemática |
| Sumario: | 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. |
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