This paper discusses a connection between scalar convex conservation laws and Pontryagin’s minimum principle. For flux functions for which an associated optimal control problem can be found, a minimum value solution of the conservation law is proposed. For scalar space-independent convex conservation laws such a control problem exists and the minimum value solution of the conservation law is eq...

This paper examines conservation objectives in Australian law in the context of climate change. The rate of climate change and the scale and extent of its impacts on natural systems drive the need to re-evaluate current conservation objectives, from basic concept definitions, to overarching goals and values, to the way they are operationalized at all levels. We outline the case for reform of ob...

this paper examines the relationship between environmental law and intellectual property law in light of international documents and procedures. the key question raised here is the role of intellectual property law in conservation of global environment. in this regard, we can express two general approaches: the neutral theory of intellectual property right and the systemic theory of intellectua...

The process of coagulation is associated with scalar conservation laws, where the adhesion particle dynamics results from shock waves. Conversely, the fragmentation of a massive particle into a number of smaller ones, or into a continuous (dust) distribution, is associated with refraction waves. It is generally agreed that a reversible solution of a conservation law cannot include neither shock...

The \Conservation Law for Generalization Performance" [ Scha er, 1994 ] states that for any learning algorithm and bias, \generalization is a zero-sum enterprise." In this paper we study the law and show that while the law is true, the manner in which the Conservation Law adds up generalization performance over all target concepts, without regard to the probability with which each concept occur...

2014 International Conference on Nonlinear Evolutionary Partial Differential Equations--Theories and Applications 17 Conservation Law Models of Granular Flow Alberto Bressan The Penn State University, USA [email protected] The talk is concerned with a model of granular flow, formulated as a scalar conservation law with nonlocal flux. Recent results will be reviewed, concerning the global exi...

Optimal control models of biological movements introduce external task factors to specify the pace of movements. Here, we present the dual to the principle of optimality based on a conserved quantity, called "drive," that represents the influence of internal motivation level on movement pace. Optimal control and drive conservation provide equivalent descriptions for the regularities observed wi...

The object studied in this paper is a pair ((; Y), where is a random surface in I R N and Y random vector eld on I R N. The pair is jointly stationary, i.e. its distribution is invariant under translations. The vector eld Y is smooth outside but may have discontinuities on. Gauss' divergence theorem is applied to derive a ow conservation law for Y. For I R 1 this specializes to a well-known rat...

Abstract We propose some algorithms to find local minima in nonconvex optimization and to obtain global minima in some degree from the Newton Second Law without friction. With the key observation of the velocity observable and controllable in the motion, the algorithms simulate the Newton Second Law without friction based on symplectic Euler scheme. From the intuitive analysis of analytical sol...

In all 2d theories of gravity a conservation law connects the effective (space-time dependent) ADM mass at all times and all radii with an integral of the matter fields. It depends on an arbitrary constant which may be interpreted as determining the initial value together with the initial values for the matter field. We discuss this for spherically reduced Einstein-gravity in a diagonal metric ...