Results 61 to 70 of about 935,302 (241)
Non‐conservation and conservation for different formulations of moist potential vorticity
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
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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
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Conserved vectors and solutions of the two-dimensional potential KP equation
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
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Low regularity conservation laws for Fokas-Lenells equation and Camassa-Holm equation
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
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Conservation law of operator current in open quantum systems
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®
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
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Laws matter: a foundational approach to biodiversity conservation in Canada
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
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On conservation laws for polyharmonic maps [PDF]
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]
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
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