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Singularity tracking for Camassa-Holm and Prandtl's equations
Singularity tracking for Camassa-Holm and Prandtl's equations
- 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.
- Subjects :
- Essential singularity
Numerical Analysis
Camassa–Holm equation
Applied Mathematics
Complex singularitie
Mathematical analysis
Prandtl number
Prandtl’s equations
Singularity function
Prandtl–Glauert transformation
Computational Mathematics
symbols.namesake
Spectral analysi
Singularity
symbols
Spectral method
Complex plane
Mathematics
Boundary layer separation
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....8bcdbb80183ca3ee98e4ccb201250fa6