Results 31 to 40 of about 445,110 (284)
Integrable Trotterization: Local Conservation Laws and Boundary Driving
Physical Review Letters, 2018 7 pages, 1 ...
Vanicat, Matthieu +2 more
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Momentum in general relativity: local versus quasilocal conservation laws [PDF]
Classical and Quantum Gravity, 2013 We construct a general relativistic conservation law for linear and angular momentum for matter and gravitational fields in a finite volume of space that does not rely on any spacetime symmetries. This work builds on our previous construction of a general relativistic energy conservation law with the same features.
Epp, Richard J. +2 more
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Conservation laws with local flux constraints arising in traffic flow modeling*
ESAIM: Proceedings and Surveys, 2014 Specific traffic flow conditions, such as the presence of toll gates, construction sites or moving bottlenecks caused by slow moving vehicles, can be realistically modeled by conservation laws with local unilateral constraints on the ...
Goatin Paola
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Local variational problems and conservation laws
Differential Geometry and its Applications, 2011 Let \(\pi:\mathbb{Y}\to \mathbb{X}\) be a fibered manifold with \(\dim \mathbb{X}=n\) and \(\dim \mathbb{Y}=n+m\). For \(r\geq0\), let \(J_r\mathbb{Y}\) be the space of \(r\)-jet prolongations of sections of \(\pi\). The natural fiberings \(\pi^r_s:J_r\mathbb{Y}\to J_s\mathbb{Y}\), \(r\geq s\), are affine bundles that induce the natural fibered ...
FERRARIS, Marco +2 more
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Galilei-invariant and energy-preserving extensions of Benjamin–Bona–Mahony-type equations
Partial Differential Equations in Applied Mathematics, 2023 The classical Benjamin–Bona–Mahony equation (BBM equation) models unidirectional propagation of long gravity surface waves of small amplitude. Unlike many other water wave models, it lacks the Galilean invariance, which is an essential property of ...
A. Cheviakov, D. Dutykh
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Classification of Local Conservation Laws of Maxwell's Equations
Acta Applicandae Mathematica, 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 ...
Anco, Stephen C., Pohjanpelto, Juha
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Hierarchy of Conservation Laws of Diffusion--Convection Equations
, 2004 We introduce notions of equivalence of conservation laws with respect to Lie symmetry groups for fixed systems of differential equations and with respect to equivalence groups or sets of admissible transformations for classes of such systems.
Anco S. C. +12 more
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Miura-Type Transformations for Integrable Lattices in 3D
Mathematics, 2023 This article studies a class of integrable semi-discrete equations with one continuous and two discrete independent variables. At present, in the literature there are nine integrable equations of the form un+1,xj=f(un,xj,unj+1,unj,un+1j,un+1j−1) up to ...
Ismagil T. Habibullin +2 more
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, 2008 We prove that potential conservation laws have characteristics depending only on local variables if and only if they are induced by local conservation laws.
Anco S. C. +12 more
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Local Conservation Laws in a Nonlinear Electrodynamics
Ukrainian Journal of Physics, 2022 By using a generalization of the Lie–Poisson brackets for the dual Maxwell and Born–Infeld field strength tensors, we construct the gauge invariant axial-vector conserved currents for Born–Infeld and Heisenberg–Euler nonlinear electrodynamics in the 4-dimensional Minkowski space-time.
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