title: Interface dynamics in hele-shaw flows with centrifugal forces: preventing cusp singularities with rotation
abstract: A class of exact solutions of Hele-Shaw flows without surface tension in a rotating cell is reported. We show that the interplay between injection and rotation modifies the scenario of formation of finite-time cusp singularities. For a subclass of solutions, we show that, for any given initial condition, there exists a critical rotation rate above which cusp formation is suppressed. We also find an exact sufficient condition to avoid cusps simultaneously for all initial conditions within the above subclass.
authors: Departament d'Estructura i Constituents de la Materia, Facultat de Fisica, Universitat de Barcelona, Avenida Diagonal 647, E-08028 Barcelona, Spain.
authors: FX
authors: Magdaleno
authors: A
authors: Rocco
authors: J
authors: Casademunt