Skip to Main content Skip to Navigation
Journal articles

Non Local Conservation Laws in Bounded Domains

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.
Document type :
Journal articles
Complete list of metadata

Cited literature [28 references]  Display  Hide  Download
Contributor : Elena Rossi Connect in order to contact the contributor
Submitted on : Tuesday, November 14, 2017 - 10:08:09 AM
Last modification on : Thursday, May 20, 2021 - 9:12:01 AM
Long-term archiving on: : Thursday, February 15, 2018 - 1:17:42 PM


Files produced by the author(s)




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



Les métriques sont temporairement indisponibles