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
作者:
Roberto Semenzato,
期刊:
Transport Theory and Statistical Physics
(Taylor Available online 1980)
卷期:
Volume 9,
issue 2-3
页码: 95-114
ISSN:0041-1450
年代: 1980
DOI:10.1080/00411458008204630
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
In the framework of the Paveri-Fontana model for dilute vehicular traffic in highways, the iteration method introduced in a previous paper to yield solutions local in time to the nonlinear integro-differential equation for the car distribution function is used here to construct global solutions and prove their uniqueness and continuity with respect to initial data.
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