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Preprint 2012-004

Lipschitz semigroup for an integro–differential equation for slow erosion

Rinaldo Colombo, Graziano Guerra and Wen Shen

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.

Paper:
Available as PDF (383 Kbytes).
Author(s):
Rinaldo Colombo,
Graziano Guerra,
Wen Shen,
Publishing information:
Accepted by Quarterly of Applied Mathematics, Brown University, in the special issue in honor of Dafermos' 70th birthday
Submitted by:
; 2012-02-10.