Back to Search Start Over

Singularity tracking for Camassa-Holm and Prandtl's equations

Singularity tracking for Camassa-Holm and Prandtl's equations

Authors :
Maria Carmela Lombardo
Giulio Della Rocca
Vincenzo Sciacca
Marco Sammartino
DELLA ROCCA G
LOMBARDO MC
SAMMARTINO M
SCIACCA V
Publication Year :
2006

Abstract

In this paper we consider the phenomenon of singularity formation for the Camassa-Holm equation and for Prandtl's equations. We solve these equations using spectral methods. Then we track the singularity in the complex plane estimating the rate of decay of the Fourier spectrum. This method allows us to follow the process of the singularity formation as the singularity approaches the real axis.

Details

Language :
English
Database :
OpenAIRE
Accession number :
edsair.doi.dedup.....8bcdbb80183ca3ee98e4ccb201250fa6