Results 61 to 70 of about 935,302 (241)

Non‐conservation and conservation for different formulations of moist potential vorticity

open access: yesAtmospheric Science Letters
Potential vorticity (PV) is one of the most important quantities in atmospheric science. In the absence of dissipative processes, the PV of each fluid parcel is known to be conserved, for a dry atmosphere.
Parvathi Kooloth   +2 more
doaj   +1 more source

Group classification, invariant solutions and conservation laws of nonlinear orthotropic two-dimensional filtration equation with the Riemann–Liouville time-fractional derivative

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2020
A nonlinear two-dimensional orthotropic filtration equation with the Riemann–Liouville time-fractional derivative is considered. It is proved that this equation can admits only linear autonomous groups of point transformations.
Veronika Olegovna Lukashchuk   +1 more
doaj   +1 more source

Conserved vectors and solutions of the two-dimensional potential KP equation

open access: yesOpen Physics, 2023
This article investigates the potential Kadomtsev–Petviashvili (pKP) equation, which describes the evolution of small-amplitude nonlinear long waves with slow transverse coordinate dependence.
Khalique Chaudry Masood   +1 more
doaj   +1 more source

Low regularity conservation laws for Fokas-Lenells equation and Camassa-Holm equation

open access: yesAdvances in Nonlinear Analysis
In this article, we mainly prove low regularity conservation laws for the Fokas-Lenells equation in Besov spaces with small initial data both on the line and on the circle. We develop a new technique in Fourier analysis and complex analysis to obtain the
Shan Minjie   +3 more
doaj   +1 more source

Conservation law of operator current in open quantum systems

open access: yes, 2012
We derive a fundamental conservation law of operator current for master equations describing reduced quantum systems. If this law is broken, the temporal integral of the current operator of an arbitrary system observable does not yield in general the ...
C. Cohen-Tannoudji   +6 more
core   +1 more source

Semi-Implicit Method for Pressure-Linked Equations (SIMPLE) – solution in MATLAB®

open access: yesInternational Journal of Multiphysics, 2018
This work presents a method for the solution of fundamental governing equations of computational fluid dynamics (CFD) using the Semi-Implicit Method for Pressure-Linked Equations (SIMPLE) in MATLAB®. The fundamental governing equations of fluid mechanics
H Khawaja, M Moatamedi
doaj   +1 more source

Laws matter: a foundational approach to biodiversity conservation in Canada

open access: yesFACETS, 2023
This perspective essay examines the role of conservation law in contributing to biodiversity decline by exploring how current conservation laws exacerbate the challenges Canada faces.
Trevor Swerdfager, Andrea Olive
doaj   +1 more source

On conservation laws for polyharmonic maps [PDF]

open access: yesarXiv, 2023
This article provides an overview on various conservation laws for polyharmonic maps between Riemannian manifolds. Besides recalling that the variation of the energy for polyharmonic maps with respect to the domain metric gives rise to the stress-energy tensor, we also show how the presence of a Killing vector field on the target manifold leads to a ...
arxiv  

Conservation laws for the Maxwell-Dirac equations with a dual Ohm's law [PDF]

open access: yesJ. Math. Phys., 48, 053523 (2007), 2007
Using a general theorem on conservation laws for arbitrary differential equations proved by Ibragimov, we have derived conservation laws for Dirac's symmetrized Maxwell-Lorentz equations under the assumption that both the electric and magnetic charges obey linear conductivity laws (dual Ohm's law).
arxiv   +1 more source

Gate fidelity of arbitrary single-qubit gates constrained by conservation laws

open access: yes, 2009
Recent investigations show that conservation laws limit the accuracy of gate operations in quantum computing. The inevitable error under the angular momentum conservation law has been evaluated so far for the CNOT, Hadamard, and NOT gates for spin 1/2 ...
Gea-Banacloche J   +6 more
core   +1 more source

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