Magdaleno Escar, Francesc XavierRocco, AndreaCasademunt i Viader, Jaume2011-07-072011-07-0720000031-9007https://hdl.handle.net/2445/18763A 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.4 p.application/pdfeng(c) The American Physical Society, 2000Dinàmica de fluidsSuperfícies (Física)Interfícies (Ciències físiques)NanotecnologiaFluid dynamicsSurfaces (Physics)Interfaces (Physical sciences)Nanotechnologyinfo:eu-repo/semantics/article151851info:eu-repo/semantics/openAccess