A multitype sticky particle construction of Wasserstein stable semigroups solving one-dimensional diagonal hyperbolic systems with large monotonic data

DOI10.1142/S0219891616500144zbMath1362.35173arXiv1501.01498MaRDI QIDQ2831995

Julien Reygner, Benjamin Jourdain

Publication date: 4 November 2016

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.01498

zbMATH Keywords

nonlinear semigroupsWasserstein distanceprobabilistic solutionsuniform stability estimatesmultitype sticky particles dynamics

Mathematics Subject Classification ID

Probabilistic methods, particle methods, etc. for boundary value problems involving PDEs (65N75) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (2)

Optimal convergence rate of the multitype sticky particle approximation of one-dimensional diagonal hyperbolic systems with monotonic initial data ⋮ Long time behaviour and mean-field limit of Atlas models

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