### Abstract

Original language | English |
---|---|

Pages (from-to) | 1108-1122 |

Number of pages | 15 |

Journal | Applied Numerical Mathematics |

Volume | 56 |

Publication status | Published - 2006 |

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### All Science Journal Classification (ASJC) codes

- Numerical Analysis
- Applied Mathematics
- Computational Mathematics

### Cite this

*Applied Numerical Mathematics*,

*56*, 1108-1122.

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

Research output: Contribution to journal › Article

*Applied Numerical Mathematics*, vol. 56, pp. 1108-1122.

}

TY - JOUR

T1 - Singularity tracking for Camassa-Holm and Prandtl's equations

AU - Sammartino, Marco Maria Luigi

AU - Lombardo, Maria Carmela

AU - Sciacca, Vincenzo

AU - Rocca, Giulio Della

PY - 2006

Y1 - 2006

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10447/30603

M3 - Article

VL - 56

SP - 1108

EP - 1122

JO - Applied Numerical Mathematics

JF - Applied Numerical Mathematics

SN - 0168-9274

ER -