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Equazioni alle Derivate Parziali nella Dinamica dei Fluidi

Existence of a splash singularity for the Oldroyd- B model at high Weissenberg number

speaker: Pierangelo Marcati (Gran Sasso Science Institute - GSSI)

abstract: (Joint with E. Di Iorio and S. Spirito ) The problem is in 2-D, The analysis is presented at infinite Weissenberg number and some extensionos will be mentioned. The method is based on the use of conformal mapping and lagrangian coordinates. Then the proof is based on a local existence of smooth solutions in the conformal plane and in a stability theorem. The existence of a splah singularity follows from the analysis of a family of "perturbed almost splash solutions" which mapped back into the original plane necessarily self intersect.

Tue 6 Feb, 9:00 - 9:35, Aula Dini
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