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math-ph2007★ 8 cited
Regularization of Hele-Shaw flows, multiscaling expansions and the Painleve I equation
Luis Martinez Alonso, E. Medina
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 hierarchi…
nlin.SI2007★ 2 cited
A common integrable structure in the hermitian matrix model and Hele-Shaw flows
Luis Martinez Alonso, Elena Medina
It is proved that the system of string equations of the dispersionless 2-Toda hierarchy which arises in the planar limit of the hermitian matrix model also underlies certain proces…