PROC
Dynamic boundary conditions as limit of singularly perturbed parabolic problems
Ángela Jiménez-Casas Aníbal Rodríguez-Bernal
Conference Publications 2011, 2011(Special): 737-746 doi: 10.3934/proc.2011.2011.737
We obtain dynamic boundary conditions as a limit of parabolic problems with null flux where the time derivative concentrates near the boundary.
keywords: flux null Dynamic boundary conditions parabolic problems concentrating integrals
PROC
Linear model of traffic flow in an isolated network
Ángela Jiménez-Casas Aníbal Rodríguez-Bernal
Conference Publications 2015, 2015(special): 670-677 doi: 10.3934/proc.2015.0670
We obtain a mathematical linear model which describes automatic operation of the traffic of material objects in a network. Existence and global solutions is obtained for such model. A related model which used outdated information is shown to collapse in finite time.
keywords: traffic flow Networks delay integral systems.

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