We used a mixed spectral/finite-difference numerical method to 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.
LO BOSCO, G., Sammartino, M., Sciacca, V. (2006). Singularities for Prandtl's equations.. In WASCOM 2005 (pp.334-339). HACKENSACK : World Scientific Publishing.
Singularities for Prandtl's equations.
LO BOSCO, Giosue';SAMMARTINO, Marco Maria Luigi;SCIACCA, Vincenzo
2006-01-01
Abstract
We used a mixed spectral/finite-difference numerical method to 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.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
sciacca_wascom_05.pdf
Solo gestori archvio
Dimensione
543.15 kB
Formato
Adobe PDF
|
543.15 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
