Lipschitz semigroup for an integro-differential equation for slow erosion

Rinaldo M. Colombo, Graziano Guerra, Wen Shen

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

In this paper we study an integro-differential equation describing granular flow dynamics with slow erosion. This nonlinear partial differential equation is a conservation law where the flux contains an integral term. Through a generalized wave front tracking algorithm, approximate solutions are constructed and shown to converge strongly to a Lipschitz semigroup.

Original languageEnglish (US)
Pages (from-to)539-578
Number of pages40
JournalQuarterly of Applied Mathematics
Volume70
Issue number3
DOIs
StatePublished - 2012

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

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