Up-wind difference approximation and singularity formation for a slow erosion model

Francesco Gargano, Vincenzo Sciacca, Giuseppe Maria Coclite

Risultato della ricerca: Articlepeer review

2 Citazioni (Scopus)

Abstract

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.
Lingua originaleEnglish
pagine (da-a)465-492
Numero di pagine28
RivistaMODÉLISATION MATHÉMATIQUE ET ANALYSE NUMÉRIQUE
Volume54
Stato di pubblicazionePublished - 2020

All Science Journal Classification (ASJC) codes

  • ???subjectarea.asjc.2600.2603???
  • ???subjectarea.asjc.2600.2612???
  • ???subjectarea.asjc.2600.2611???
  • ???subjectarea.asjc.2600.2605???
  • ???subjectarea.asjc.2600.2604???

Fingerprint

Entra nei temi di ricerca di 'Up-wind difference approximation and singularity formation for a slow erosion model'. Insieme formano una fingerprint unica.

Cita questo