RT Journal Article
T1 Regularization of Hele-Shaw flows, multiscaling expansions and the Painlevé I equation
A1 Martínez Alonso, Luis
A1 Medina Reus, Elena
AB 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.
PB Pergamon-Elsevier Science Ltd
SN 0960-0779
YR 2009
FD 2009-08-15
LK https://hdl.handle.net/20.500.14352/44793
UL https://hdl.handle.net/20.500.14352/44793
LA eng
NO ©2008 Elsevier Ltd. All rights reserved.The authors wish to thank the Spanish Ministerio de Educación y Ciencia (research project FIS2005-00319) and the European Science Foundation (MISGAM programme) for their support.
NO Spanish Ministerio de Educación y Ciencia
NO European Science Foundation (MISGAM programme)
DS Docta Complutense
RD 7 abr 2025