1,721,162 research outputs found
Wave Front Tracking in Systems of conservation Laws
Get PDFsummary:This paper contains several recent results about nonlinear systems of hyperbolic conservation laws obtained through the technique of Wave Front Tracking
On the Braess Paradox with Nonlinear Dynamics and Control Theory
Get PDFWe show the existence of the Braess paradox for a traffic network with nonlinear dynamics described by the Lighthill–Whitham–Richards model for traffic flow. Furthermore, we show how one can employ control theory to avoid the paradox. The paper offers a general framework applicable to time-independent, uncongested flow on networks. These ideas are illustrated through examples
Modeling and Managing Traffic Flow through Hyperbolic Conservation Laws
No full textEdito da P.H.L. Bovy, S.P. Hoogendoorn, M. Schreckenberg, D.E. Wol
Phase Transitions in car Traffic & Pedestrian Flow Modeling
No full textEditori: R.M. Colombo, D. Kroener, P.G. Lefloc
On general balance laws with Boundary
No full textAbstractThis paper is devoted to general balance laws (with a possibly non-local source term) with a non-characteristic boundary. Basic well posedness results are obtained. New uniqueness results for the solutions to conservation and/or balance laws with boundary are also provided
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