This talk will explain how assumptions on microscopic (i.e., individual) traffic flow transfer into kinetic models of Vlasov or Fokker-Planck type, and how macroscopic PDE models arise by moment expansions or a special solution ansatz. Models of such type (including the Aw-Rascle model of conservation laws) will be presented, and some analytical and simulation results will be shown. In particular, we explore the formation and propagation of braking waves in response to various types of triggers, such as speed limitations (temporal and spatial) or density concentrations.
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