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Exponentially fitted multisymplectic scheme for conservative Maxwell equations with oscillary solutions. [PDF]
PLoS ONE, 2021 Aiming at conservative Maxwell equations with periodic oscillatory solutions, we adopt exponentially fitted trapezoidal scheme to approximate the temporal and spatial derivatives. The scheme is a multisymplectic scheme. Under periodic boundary condition,
Xiuling Yin +4 more
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Journal of Taibah University for Science, 2023 This article employs the Cattaneo-Christov double diffusion concept to examine thermal and solute energy transfer processes in Maxwell liquid movement. The irregular two-dimensional movement of a Maxwell liquid with changing heat conductivity across an ...
K. Subbarao +2 more
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Case Studies in Thermal Engineering, 2022 This study considers the natural convection of viscoelastic fractional-type Maxwell fluid flowing on an inclined oscillating plate with generalized equations for stress-shear and thermal flux of thickness vector.
Ilyas Khan +5 more
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Solution of Maxwell's equations [PDF]
Computer Physics Communications, 1992 Abstract A numerical approach for the solution of Maxwell's equations is presented. Based on a finite difference Yee lattice the method transforms each of the four Maxwell equations into an equivalent matrix expression that can be subsequently treated by matrix mathematics and suitable numerical methods for solving matrix problems.
Wolter, H. +16 more
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A Controllability Method for Maxwell's Equations
SIAM Journal on Scientific Computing, 2022 We propose a controllability method for the numerical solution of time-harmonic Maxwell's equations in their first-order formulation. By minimizing a quadratic cost functional, which measures the deviation from periodicity, the controllability method determines iteratively a periodic solution in the time domain.
Théophile Chaumont-Frelet +3 more
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Maxwell equations in curved spacetime
European Physical Journal C: Particles and Fields, 2023 In curved spacetime, Maxwell’s equations can be expressed in forms valid in Minkowski background, with the effect of the metric (gravity) appearing as effective polarizations and magnetizations.
Jai-chan Hwang, Hyerim Noh
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An explicit representation for the axisymmetric solutions of the free Maxwell equations
Open Physics, 2020 Garay-Avendaño and Zamboni-Rached defined two classes of axisymmetric solutions of the free Maxwell equations. We prove that the linear combinations of these two classes of solutions cover all totally propagating time-harmonic axisymmetric free Maxwell ...
Arminjon Mayeul
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Study of some proprieties of the nonlinear Maxwell/Plasma operator modelling breakdown
Partial Differential Equations in Applied Mathematics, 2021 The interaction phenomenon between High Power Microwave and cold plasma is governed by the Maxwell equations coupled with a fluid description of the plasma.
Adnane Hamiaz, Xavier Ferrieres
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Symmetries of Maxwell-Bloch Equations [PDF]
Journal of Nonlinear Mathematical Physics, 1995 The paper addresses the symmetries of the real Maxwell-Bloch equations. The authors present the Lax pair, bi-Hamiltonian formulations and find a symplectic realization of the system. Also a hierarchy of master symmetries is constructed which is used to generate nonlinear Poisson brackets.
Damianou, Pantelis A. +3 more
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Complex Symmetric Formulation of Maxwell Equations for Fields and Potentials
Mathematics, 2018 Maxwell equations have two types of asymmetries between the electric and magnetic fields. The first asymmetry is the inhomogeneity induced by the absence of magnetic charge sources. The second asymmetry is due to parity.
George Livadiotis
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