Lipschitz semigroup for an integro-differential equation for slow erosion

Rinaldo M. Colombo; Graziano Guerra; Wen Shen

doi:10.1090/S0033-569X-2012-01309-2

Lipschitz semigroup for an integro-differential equation for slow erosion

Rinaldo M. Colombo, Graziano Guerra, Wen Shen

Research output: Contribution to journal › Article › peer-review

6 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 language	English (US)
Pages (from-to)	539-578
Number of pages	40
Journal	Quarterly of Applied Mathematics
Volume	70
Issue number	3
DOIs	https://doi.org/10.1090/S0033-569X-2012-01309-2
State	Published - 2012

All Science Journal Classification (ASJC) codes

Applied Mathematics

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title = "Lipschitz semigroup for an integro-differential equation for slow erosion",

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.",

author = "Colombo, {Rinaldo M.} and Graziano Guerra and Wen Shen",

year = "2012",

doi = "10.1090/S0033-569X-2012-01309-2",

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T1 - Lipschitz semigroup for an integro-differential equation for slow erosion

AU - Colombo, Rinaldo M.

AU - Guerra, Graziano

AU - Shen, Wen

PY - 2012

Y1 - 2012

N2 - 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.

AB - 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.

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U2 - 10.1090/S0033-569X-2012-01309-2

DO - 10.1090/S0033-569X-2012-01309-2

M3 - Article

AN - SCOPUS:84871118862

SN - 0033-569X

VL - 70

SP - 539

EP - 578

JO - Quarterly of Applied Mathematics

JF - Quarterly of Applied Mathematics

IS - 3

ER -

Lipschitz semigroup for an integro-differential equation for slow erosion

Abstract

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