Results 221 to 230 of about 935,302 (241)
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2018
Abstract This chapter studies how the ‘spacetime symmetries’ can generate first integrals of the equations of motion which simplify their solution and also make it possible to define conserved quantities, or ‘charges’, characterizing the system.
Nathalie Deruelle, Jean-Philippe Uzan
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Abstract This chapter studies how the ‘spacetime symmetries’ can generate first integrals of the equations of motion which simplify their solution and also make it possible to define conserved quantities, or ‘charges’, characterizing the system.
Nathalie Deruelle, Jean-Philippe Uzan
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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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Dynamics and Conservation Laws [PDF]
, 1998 In dynamic analysis, we examine the movements of a system over time. From the infancy of their science, economists were interested in the microeconomic and macroeconomic adjustment processes. As for long-term trends, classical economists assumed that would tend towards a stationary state.
Rama V. Ramachandran, Ryuzo Sato
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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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syzygies and conservation laws
Foundations of Physics Letters, 2002We show how the notion of syzygies of a system of partial differential equations allows to derive some conservation laws, for the case of Maxwell and Proca systems. More in general, we apply some classical tools in algebraic analysis to derive properties of the solutions of the previous systems like their integral representations.
COLOMBO, FABRIZIO +3 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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1992
Publisher Summary This chapter discusses conservation laws applicable to partial differential equations. These laws yield quantities that remain invariant during the evolution of the partial differential equation. Given an evolution equation, which is a partial differential equation of the form ut = F(u, ux, uxx,….) a conservation law is a partial ...
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Publisher Summary This chapter discusses conservation laws applicable to partial differential equations. These laws yield quantities that remain invariant during the evolution of the partial differential equation. Given an evolution equation, which is a partial differential equation of the form ut = F(u, ux, uxx,….) a conservation law is a partial ...
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The Single Conservation Law [PDF]
, 1983 In this chapter we shall obtain precise mathematical results on the existence and uniqueness of solutions for a single conservation law. In addition we shall also study the asymptotic behavior of our constructed solution. The existence problem will be attacked via a finite-difference method.
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Law and conservation conflicts
2015Conflict is a dominant notion within the legal discipline. In this chapter I review some roles that law and legal research play with respect to conservation conflicts. I first introduce briefly law and legal research and then discuss the respective roles of law and legal research with regard to conservation conflicts.
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1990
We begin our study of conservation laws by considering the scalar case. Many of the difficulties encountered with systems of equations are already encountered here, and a good understanding of the scalar equation is required before proceeding.
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We begin our study of conservation laws by considering the scalar case. Many of the difficulties encountered with systems of equations are already encountered here, and a good understanding of the scalar equation is required before proceeding.
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