Singularities for Prandtl's equations.

Risultato della ricerca: Otherpeer review

Abstract

We used a mixed spectral/finite-difference numerical methodto investigate the possibility of a finite time blow-up of the solutions of Prandtl's equations for the case of the impulsively started cylinder. Our toll is the complex singularity tracking method. We show that a cubic root singularity seems to develop, in a time that can be made arbitrarily short, from a class of data uniformely bounded in H^1.
Lingua originaleEnglish
Pagine334-339
Numero di pagine6
Stato di pubblicazionePublished - 2006

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