On the stability of a model for the cutting of metal plates by means of laser beams

DOI10.1016/J.AML.2017.01.002zbMath1383.35122OpenAlexW2576127149MaRDI QIDQ518492

Francesca Marcellini

Publication date: 28 March 2017

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2017.01.002

zbMATH Keywords

laser cuttingnonlocal balance laws

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Plates (74K20) First-order nonlinear hyperbolic equations (35L60) Lasers, masers, optical bistability, nonlinear optics (78A60) Initial value problems for first-order hyperbolic systems (35L45)

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Cites Work

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• Biological and industrial models motivating nonlocal conservation laws: a review of analytic and numerical results
• Nonlocal systems of balance laws in several space dimensions with applications to laser technology
• On the Hughes' model for pedestrian flow: the one-dimensional case
• Stability and total variation estimates on general scalar balance laws
• A hyperbolic model for the laser cutting process
• Mathematical modelling and stability analysis for laser cutting
• A CLASS OF NONLOCAL MODELS FOR PEDESTRIAN TRAFFIC

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