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Conservation laws in superfluorescence
Physical Review A, 1992Conservation laws for Maxwell-Bloch equations applied to describe superfluorescence are studied. Modifications due to the initial boundary conditions are discussed. For initial polarization in the form of a constant tipping angle, conservation laws are integrated to give exact dependence of all field moments on the propagation length.
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On approximation of local conservation laws by nonlocal conservation laws
Journal of Mathematical Analysis and Applications, 2019This manuscript addresses scalar nonlocal conservation laws in one spatial dimension of the form \[ \partial_t q + \partial_x \left( \lambda\left( W_\eta[q] \right) q \right) = 0 \] with initial condition \(q(0,x)=q_0(x)\) for \(x \in \mathbb{R}\). Such equations occur, for instance, in modeling traffic flow, chemical ripening processes, supply chains,
Alexander Keimer, Lukas Pflug
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2012
Social laws – sets of constraints imposed on the behaviour of agents within a multi-agent system with the goal of some desirable overall behaviour resulting – are an important mechanism for coordinating multi-agent behaviour. When considering social laws in human environments, the inspiration for social laws in multiagent systems ...
Thomas Ågotnes +2 more
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Social laws – sets of constraints imposed on the behaviour of agents within a multi-agent system with the goal of some desirable overall behaviour resulting – are an important mechanism for coordinating multi-agent behaviour. When considering social laws in human environments, the inspiration for social laws in multiagent systems ...
Thomas Ågotnes +2 more
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2011
This survey paper deals with a system of conservation laws on a network composed by a single node with n incoming and m outgoing arcs. We analyze the Cauchy problem in the case of the Lighthill-Whitham-Richards (LWR) model for traffic and in the case of the p-system. Some open problems are presented.
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This survey paper deals with a system of conservation laws on a network composed by a single node with n incoming and m outgoing arcs. We analyze the Cauchy problem in the case of the Lighthill-Whitham-Richards (LWR) model for traffic and in the case of the p-system. Some open problems are presented.
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Conservation Laws and Symmetries
Physical Review, 1966The possibility of an arbitrary conserved current, with any tensorial rank and having explicit dependence on space-time variables, being associated with an invariance property is investigated. It is proved, in the Lagrangian formalism of local quantum field theory, that conserved currents satisfying certain reasonable requirements must have the ...
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Soviet Law and Government, 1968
The extensive development of social production in the USSR, and the associated steadily increasing utilization of diverse natural resources in the economy, compel us to intensify our concern for the protection of nature. In recent years, measures have been developed in our country to assure rational utilization and protection of the land, its mineral ...
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The extensive development of social production in the USSR, and the associated steadily increasing utilization of diverse natural resources in the economy, compel us to intensify our concern for the protection of nature. In recent years, measures have been developed in our country to assure rational utilization and protection of the land, its mineral ...
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On Conservation Laws in Quantum Mechanics
Proceedings of the National Academy of Sciences of the United States of America, 2021Daniel Rohrlich +2 more
exaly