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Multi-class kinematic wave theory of traffic flow
Transportation Research Part B: Methodological, 2008Abstract 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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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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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, 2017Kinematic 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, 1987A 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, 2013Diverging 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, 2013In 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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The kinematical theory of X-ray spherical-wave diffraction
Acta Crystallographica Section A, 1982It is shown that the Fraunhofer approximation, used in the kinematical theory of X-ray diffraction, may fail for a wide variety of crystals with different perfection. The kinematical theory describing the diffraction pattern in the general case is developed.
E. V. Shulakov, V. V. Aristov
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Kinematics Prediction by Stokes and Fourier Wave Theories
Journal of Waterway, Port, Coastal, and Ocean Engineering, 1990Recent laboratory measurements of wave kinematics indicate that the horizontal velocity under the crest is smaller than that under the trough in the range of intermediate to deep water waves. The mathematically correct fifth‐order Stokes and Fourier wave theories can better predict the measured behavior if a zero uniform coflowing mass transport ...
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Darwin spherical-wave theory of kinematic surface diffraction
Acta Crystallographica Section A Foundations of Crystallography, 1995In 1912, von Laue first described X-ray diffraction by approximating as plane waves the spherical waves radiated by atoms in a crystal.
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