Expanding Newton Mechanics with Neutrosophy and Quadstage Method ──New Newton Mechanics Taking Law of Conservation of Energy as Unique Source Law [PDF]
Neutrosophic Sets and Systems, 2014 Neutrosophy is a new branch of philosophy, and "Quad-stage" (Four stages) is the expansion of Hegel’s triad thesis, antithesis, synthesis of development.
Fu Yuhua
doaj
Discrete gradient methods have an energy conservation law [PDF]
arXiv, 2013 We show for a variety of classes of conservative PDEs that discrete gradient methods designed to have a conserved quantity (here called energy) also have a time-discrete conservation law. The discrete conservation law has the same conserved density as the continuous conservation law, while its flux is found by replacing all derivatives of the conserved
arxiv
Classification of local conservation laws of Maxwell's equations [PDF]
Acta Applic. Math. 69/3 (2001) 285-327, 2001 A complete and explicit classification of all independent local conservation laws of Maxwell's equations in four dimensional Minkowski space is given. Besides the elementary linear conservation laws, and the well-known quadratic conservation laws associated to the conserved stress-energy and zilch tensors, there are also chiral quadratic conservation ...
arxiv
Extension the Noether's theorem to Lagrangian formulation with nonlocality
, 2012 A Lagrangian formulation with nonlocality is investigated in this paper. The nonlocality of the Lagrangian is introduced by a new nonlocal argument that is defined as a nonlocal residual satisfying the zero mean condition.
Atkinson C. +3 more
core +1 more source
Rethinking legal objectives for climate-adaptive conservation
Ecology and Society, 2016 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 ...
Jan McDonald +4 more
doaj +1 more source
Conservation laws. Their role in evolutionary processes (The method of skew-symmetric differential forms) [PDF]
arXiv, 2003 In the work it has been shown that there are two types of the conservation laws. 1. The conservation laws that can be called exact ones. They point to an avalability of some conservative quantities or objects. Such objects are the physical structures, which the physical fields and relevant manifolds are constructed of. These are conservation laws for
arxiv
Solving 1D Conservation Laws Using Pontryagin's Minimum Principle [PDF]
, 2016 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 ...
Kang, Wei, Wilcox, Lucas C.
core +2 more sources
Infinitesimal symmetries and conservation laws of the DNLSE hierarchy and the Noether's theorem
, 2006 The hierarchy of the integrable nonlinear equations associated with the quadratic bundle is considered. The expressions for the solution of the linearization of these equations and their conservation law in the terms of the solutions of the corresponding
Anderson +45 more
core +2 more sources
Pseudo-Hermiticity protects the energy-difference conservation in the scattering
Physical Review Research, 2023 Symmetry plays a fundamentally important role in physics. In this work, we find a conservation law, S^{†}(H_{c}^{†})S(H_{c})=I, which is valid for any non-Hermitian scattering center H_{c}.
H. S. Xu, L. Jin
doaj +1 more source
On the different types of global and local conservation laws for partial differential equations in three spatial dimensions: review and recent developments [PDF]
International Journal Nonlinear Mechanics 126 (2020), 10359, 2018 For systems of partial differential equations in three spatial dimensions, dynamical conservation laws holding on volumes, surfaces, and curves, as well as topological conservation laws holding on surfaces and curves, are studied in a unified framework. Both global and local formulations of these different conservation laws are discussed, including the
arxiv