A sharp critical threshold for a traffic flow model with look-ahead dynamics
Yongki Lee, Changhui Tan
Abstract
We study a nonlocal traffic flow model with an Arrhenius type look-ahead interaction. We show a sharp critical threshold condition on the initial data which distinguishes the global smooth solutions and finite time wave break-down.
Topics & Concepts
Flow (mathematics)Statistical physicsDynamics (music)Traffic flow (computer networking)PhysicsType (biology)MechanicsMathematicsClassical mechanicsMathematical analysisComputer scienceGeologyAcousticsPaleontologyComputer securityNavier-Stokes equation solutionsAdvanced Mathematical Physics ProblemsStochastic processes and financial applications