Well-posedness of a non-local model for material flow on conveyor belts

被引：0
|
作者：
Rossi, Elena [1 ]
Weißen, Jennifer [2 ]
Goatin, Paola [1 ]
Göttlich, Simone [2 ]
机构：
[1] Inria Sophia Antipolis - Méditerranée, Université Côte d'Azur, Inria, CNRS, LJAD, 2004 Route des Lucioles - BP 93, Sophia Antipolis Cedex,06902, France
[2] University of Mannheim, Department of Mathematics, Mannheim,68131, Germany
来源：
ESAIM: Mathematical Modelling and Numerical Analysis | 2020年 / 54卷 / 02期
关键词：
Numerical methods;
D O I：
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摘要：
In this paper, we focus on finite volume approximation schemes to solve a non-local material flow model in two space dimensions. Based on the numerical discretisation with dimensional splitting, we prove the convergence of the approximate solutions, where the main difficulty arises in the treatment of the discontinuity occurring in the flux function. In particular, we compare a Roe-type scheme to the well-established Lax-Friedrichs method and provide a numerical study highlighting the benefits of the Roe discretisation. Besides, we also prove the L1-Lipschitz continuous dependence on the initial datum, ensuring the uniqueness of the solution. © EDP Sciences, SMAI 2020
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页码：679 / 704
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