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NONCONVEX CONSERVATION LAWS AND ORDINARY DIFFERENTIAL EQUATIONS

Published online by Cambridge University Press:  29 March 2004

ANDREA MARSON
ANDREA MARSON
Affiliation:
Dipartimento di Matematica Pura ed Applicata, Università degli Studi di Padova, Via G. Belzoni, 7, 35131 Padova, [email protected]
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Abstract

The paper deals with the well posedness of a class of ordinary differential equations. The vector field depends on the solution to a scalar conservation law, whose flux function is assumed to have a single inflection point (from whence ‘nonconvex’ is derived). Filippov solutions to the ordinary differential equations are considered, and Hölder continuous dependence on the initial data is proved. The motivation for the problem is a model of traffic flow.

Keywords

35L6565L0590B20
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 69 , Issue 2 , April 2004 , pp. 428 - 440
Copyright
The London Mathematical Society 2004

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