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Journal Articles SIAM Journal on Mathematical Analysis Year : 2018

Non Local Conservation Laws in Bounded Domains

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Abstract

The well posedness for a class of non local systems of conservation laws in a bounded domain is proved and various stability estimates are provided. This construction is motivated by the modelling of crowd dynamics, which also leads to define a non local operator adapted to the presence of a boundary. Numerical integrations show that the resulting model provides qualitatively reasonable solutions.
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Dates and versions

hal-01634435 , version 1 (14-11-2017)

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Elena Rossi, Rinaldo M. Colombo. Non Local Conservation Laws in Bounded Domains. SIAM Journal on Mathematical Analysis, 2018, 50 (4), pp.4041-4065. ⟨10.1137/18M1171783⟩. ⟨hal-01634435⟩
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