TY - JOUR AU - Martínez Alonso, Luis AU - Medina Reus, Elena PY - 2009 DO - 10.1016/j.chaos.2008.05.020 SN - 0960-0779 UR - https://hdl.handle.net/20.500.14352/44793 T2 - Chaos solitons & Fractals 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... LA - eng M2 - 1284 PB - Pergamon-Elsevier Science Ltd KW - Korteweg-devries equation KW - Small dispersion limit KW - Integrable hierarchies KW - Gravity KW - Dynamics KW - Strings TI - Regularization of Hele-Shaw flows, multiscaling expansions and the Painlevé I equation TY - journal article VL - 41 ER -