Results 141 to 150 of about 106,070 (175)

Multi-class kinematic wave theory of traffic flow

Transportation Research Part B: Methodological, 2008
Abstract The kinematic wave theory of traffic flow was independently developed by Lighthill and Whitham [Lighthill, M.J., Whitham, G.B., 1955. On kinematic waves. II. A theory of traffic flow on long crowded roads. Procedings of Royal Society A 229, 281–345] and Richards [Richards, P.I., 1956. Shockwaves on the highway. Operations Research 4, 42–51].
S. Logghe, L.H. Immers
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Kinematic wave theory

Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1970
In the kinematic theory of wave propagation (e. g. geometrical optics) a quantity J is needed in the calculation of wave intensity either through transport equations or the principle of conservation of wave action. This quantity is a spatial Jacobian with respect to a parameter space and represents a volume element ...
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Kinematic Wave Theory of Overland Flow

Water Resources Management, 2017
Kinematic wave (KW) theory is widely applied for modeling overland flow. The theory is comprised of (1) continuous waves, (2) formation of shocks, and (3) propagation of shocks. This paper revisits the KW concept for overland flow from fluid mechanical and mathematical points of view.
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Kinematical problem in Spin-wave theory

International Journal of Theoretical Physics, 1987
A spin-1/2, nearest neighbor Heisenberg Hamiltonian acting on a periodic,d-dimensional lattice is considered. Multi-spin-wave solutions to the Schrodinger equation for a Heisenberg ferromagnet involve an unlimited superposition of spin-reversal operators at sites. This violates the physical restriction that no more than one excitation reside on any one
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An instantaneous kinematic wave theory of diverging traffic

Transportation Research Part B: Methodological, 2013
Diverging junctions are an important type of bottlenecks, which can reduce capacities and initiate and propagate traffic congestion in a road network. In this paper, we propose a kinematic wave theory for modeling dynamics of non-cooperative diverging traffic, in which traffic dynamics of vehicles to one direction are assumed to be independent of those
Wen-Long Jin, H. Michael Zhang
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Modeling space–time inhomogeneities with the kinematic wave theory

Transportation Research Part B: Methodological, 2013
In this paper, the authors are concerned with modeling space–time inhomogeneities with the kinematic wave (Lighthill-Whitham-Richards(LWR)) model. The notion of space–time inhomogeneity refers to the fact that governing laws of traffic, essentially dictated by fundamental diagrams (FD), differ from each other in distinct space–time regions.
Jia Li, H.M. Zhang
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