Singularity tracking for Camassa-Holm andPrandtl's equations

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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 decayof the Fourier spectrum. This method allows us to follow the process of the singularity formation as the singularity approaches thereal axis.
Original languageEnglish
Pages (from-to)1108-1122
Number of pages15
JournalApplied Numerical Mathematics
Volume56
Publication statusPublished - 2006

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

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