A nonlinear problem which occurs in the kinetic theory of vehicular traffic

DOI10.1016/0022-247X(80)90114-6zbMath0433.45011MaRDI QIDQ1139245

Gabriella Di Blasio

Publication date: 1980

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

initial value problemsemilinear evolution equationsunique nonnegative solutionkinetic theory of vehicular trafficnonlinear semi-groupsPrigogine-Herman modelvehicular traffic on highways

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Traffic problems in operations research (90B20) Theoretical approximation of solutions to integral equations (45L05)

Related Items

Global solutions of the kinetic equation for vehicular traffic in the low-density case

Cites Work

• Nonlinear kinetic theory of vehicular traffic
• Differentiability of spatially homogeneous solutions of the Boltzmann equation in the non Maxwellian case
• Nonlinear perturbations and abstract evolution equations in general Banach spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item