Results 11 to 20 of about 8,467 (259)
Maxwell’s Equations on Cantor Sets: A Local Fractional Approach [PDF]
Advances in High Energy Physics, 2013 Maxwell’s equations on Cantor sets are derived from the local fractional vector calculus. It is shown that Maxwell’s equations on Cantor sets in a fractal bounded domain give efficiency and accuracy for describing the fractal electric and magnetic fields.
Yang Zhao +4 more
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Maxwell’s equations in the Myers-Perry geometry
Journal of High Energy Physics, 2017 We demonstrate separability of the Maxwell’s equations in the Myers-Perry-(A)dS geometry and derive explicit solutions for various polarizations. Application of our construction to the four-dimensional Kerr black hole leads to a new ansatz for the ...
Oleg Lunin
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W1,p Regularity of Weak Solutions to Maxwell’s Equations
Journal of Mathematics, 2020 In this paper, we study the steady-state Maxwell’s equations. The weak solution defined in weak formulation is considered, and the global existence is obtained in general bounded open domain.
Zhihong Chen
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Janet bases and general solutions of Maxwell’s equations in vacuum
AIP AdvancesBy transforming a system of partial differential equations into a Janet basis, one obtains the most comprehensive information regarding its solutions without explicitly determining them.
Fritz Schwarz
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The differential geometry behind Maxwell’s equations [PDF]
, 2022 Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2022, Director: Joana Cirici[en] Modern physics relies heavily on differential geometry in order to establish the mathematical formulation of its conceptual
de Muniategui Climente, Martı́n
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Finite element approximation of Maxwell’s equations with Debye memory [PDF]
, 2010 Copyright © 2010 Simon Shaw. All rights reserved.This article has been made available through the Brunel Open Access Publishing Fund.Maxwell’s equations in a bounded Debye medium are formulated in terms of the standard partial differential equations of ...
Simon Shaw, Shaw, S
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The three faces of Maxwell’s equations
Pramana, 1986 In dealing with electromagnetic phenomena and in particular the phenomena of optics, despite the recognition of the quanta of light people tend to talk of the amplitudes and field strengths, as if the electromagnetic field were a classical field. For example we measure the wavelength of light by studying interference fringes. In this paper we study the
Mukunda, N, Sudarshan, ECG
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Computational framework for the regularized 20-moment equations for non-equilibrium gas flows [PDF]
, 2008 This paper presents a framework for solving the regularized 20-moment equations consisting of a set of transport-like governing equations, the required constitutive closure, re-casting of the equations in second-order partial derivative form and ...
Emerson, David +19 more
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Methodological derivation of the eikonal equation
Discrete and Continuous Models and Applied Computational Science, 2023 Usually, when working with the eikonal equation, reference is made to its derivation in the monograph by Born and Wolf. The derivation of this equation was done rather carelessly.
Arseny V. Fedorov +4 more
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Reply to “Comment on ‘Electronic Maxwell’s equations’”
New Journal of Physics, 2021 The main purpose of the paper Li et al (2020 New J. Phys. 22 113019) is to determine the common properties of electronic waves and electromagnetic waves.
Mingjie Li +3 more
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