6533b82bfe1ef96bd128e6c0
RESEARCH PRODUCT
Singularities for Prandtl's equations.
Giosue' Lo BoscoMarco Maria Luigi SammartinoVincenzo Sciaccasubject
Prandtl’s equations Separation Spectral methods Complex singularities Blow–up time Regularizing viscosity.Settore MAT/07 - Fisica Matematicadescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2006-01-01 |