Convergence of the follow-the-leader scheme for scalar conservation laws with space dependent flux
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Publication:2281570
DOI10.3934/dcds.2020010zbMath1430.35155arXiv1901.03618OpenAlexW2981145725MaRDI QIDQ2281570
Marco Di Francesco, Graziano Stivaletta
Publication date: 3 January 2020
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.03618
Interacting particle systems in time-dependent statistical mechanics (82C22) Hyperbolic conservation laws (35L65) Traffic problems in operations research (90B20) Initial value problems for nonlinear first-order PDEs (35F25)
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On gradient flow and entropy solutions for nonlocal transport equations with nonlinear mobility ⋮ Particle approximation of one-dimensional mean-field games with local interactions ⋮ Entropy Solutions of Mildly Singular Nonlocal Scalar Conservation Laws with Congestion via Deterministic Particle Methods ⋮ Deterministic particle approximation of aggregation diffusion equations with nonlinear mobility ⋮ Opinion formation systems via deterministic particles approximation ⋮ Stationary wave profiles for nonlocal particle models of traffic flow on rough roads
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