Publicación: NONLOCAL REACTION TRAFFIC FLOW MODEL WITH ON-OFF RAMPS
Fecha
2022
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Networks and Heterogeneous Media
Resumen
WE PRESENT A NON-LOCAL VERSION OF A SCALAR BALANCE LAW MODELING TRAFFIC FLOW WITH ON-RAMPS AND OFF-RAMPS. THE SOURCE TERM IS USED TO DESCRIBE THE INFLOW AND OUTPUT FLOW OVER THE ON-RAMP AND OFF-RAMPS RESPECTIVELY. WE APPROXIMATE THE PROBLEM USING AN UPWIND-TYPE NUMERICAL SCHEME AND WE PROVIDE L? AND BV ESTIMATES FOR THE SEQUENCE OF APPROXIMATE SOLUTIONS. TOGETHER WITH A DISCRETE ENTROPY INEQUALITY, WE ALSO SHOW THE WELL-POSEDNESS OF THE CONSIDERED CLASS OF SCALAR BALANCE LAWS. SOME NUMERICAL SIMULATIONS ILLUSTRATE THE BEHAVIOUR OF SOLUTIONS IN SAMPLE CASES.
