Search results for "Complex Singularitie"

showing 2 items of 12 documents

Singularities for Prandtl's equations.

2006

We used a mixed spectral/finite-difference numerical method to investigate the possibility of a finite time blow-up of the solutions of Prandtl's equations for the case of the impulsively started cylinder. Our toll is the complex singularity tracking method. We show that a cubic root singularity seems to develop, in a time that can be made arbitrarily short, from a class of data uniformely bounded in H^1.

Prandtl’s equations Separation Spectral methods Complex singularities Blow–up time Regularizing viscosity.Settore MAT/07 - Fisica Matematica
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Up-wind difference approximation and singularity formation for a slow erosion model

2020

We consider a model for a granular flow in the slow erosion limit introduced in [31]. We propose an up-wind numerical scheme for this problem and show that the approximate solutions generated by the scheme converge to the unique entropy solution. Numerical examples are also presented showing the reliability of the scheme. We study also the finite time singularity formation for the model with the singularity tracking method, and we characterize the singularities as shocks in the solution.

granular flowsNumerical AnalysisEntropy solutionsup-wind schemeApplied MathematicsMathematical analysisEngquist–Osher schemeEntropy solutions up-wind scheme Engquist–Osher scheme spectral analysis complex singularities granular flowsspectral analysiscomplex singularitiesComputational MathematicsSingularityEntropy solutions / up-wind scheme / Engquist–Osher scheme / spectral analysis / complex singularities / granular flowsModeling and SimulationSpectral analysisGravitational singularityFinite timeSettore MAT/07 - Fisica MatematicaAnalysisMathematics
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