6533b83afe1ef96bd12a707f

RESEARCH PRODUCT

Singularity tracking for Camassa-Holm and Prandtl's equations

Maria Carmela LombardoGiulio Della RoccaVincenzo SciaccaMarco Sammartino

subject

Essential singularityNumerical AnalysisCamassa–Holm equationApplied MathematicsComplex singularitieMathematical analysisPrandtl numberPrandtl’s equationsSingularity functionPrandtl–Glauert transformationComputational Mathematicssymbols.namesakeSpectral analysiSingularitysymbolsCamassa–Holm equationSpectral methodComplex planeMathematicsBoundary layer separation

description

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.

yearjournalcountryeditionlanguage
2006-08-01
10.1016/j.apnum.2005.09.009http://hdl.handle.net/10447/30603