Global solutions for a nonlinear initial value problem arising from the kinetic theory of vehicular traffic: existence, uniqueness and continuity with respect to initial data

DOI10.1080/00411458008204630zbMath0519.35011OpenAlexW2075572749MaRDI QIDQ3669811

R. Semenzato

Publication date: 1980

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411458008204630

zbMATH Keywords

existenceuniquenessiteration methodglobal solutionscontinuity with respect to initial datakinetic theory of vehicular trafficnonlinear integro- differential equation

Mathematics Subject Classification ID

Nonlinear first-order PDEs (35F20) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Theoretical approximation in context of PDEs (35A35) Traffic problems in operations research (90B20)

Cites Work

• The Boltzmann equation: Continuity of the solution with respect to initial data
• The Boltzmann equation. I. Uniqueness and local existence
• A nonlinear initial-value problem arising from kinetic theory of vehicular traffic

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