Singularity tracking for Camassa-Holm and Prandtl's equations

Research output: Contribution to journalArticle

23 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)1108-1122
Number of pages15
JournalApplied Numerical Mathematics
Volume56
Publication statusPublished - 2006

Fingerprint

Camassa-Holm Equation
Singularity
Fourier Spectrum
Spectral Methods
Argand diagram

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Applied Mathematics
  • Computational Mathematics

Cite this

Singularity tracking for Camassa-Holm and Prandtl's equations. / Sammartino, Marco Maria Luigi; Lombardo, Maria Carmela; Sciacca, Vincenzo; Rocca, Giulio Della.

In: Applied Numerical Mathematics, Vol. 56, 2006, p. 1108-1122.

Research output: Contribution to journalArticle

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