Stable and convergent fully discrete interior–exterior coupling of Maxwell’s equations
Sign Up to like & getrecommendations! Published in 2017 at "Numerische Mathematik"
DOI: 10.1007/s00211-017-0868-8
Abstract: Maxwell’s equations are considered with transparent boundary conditions, for initial conditions and inhomogeneity having support in a bounded, not necessarily convex three-dimensional domain or in a collection of such domains. The numerical method only involves… read more here.
Keywords: stable convergent; method; maxwell equations; convergent fully ... See more keywords
Non-singular space-times with a negative cosmological constant: II. Static solutions of the Einstein–Maxwell equations
Sign Up to like & getrecommendations! Published in 2017 at "Letters in Mathematical Physics"
DOI: 10.1007/s11005-017-0955-x
Abstract: We construct infinite-dimensional families of non-singular static space-times, solutions of the vacuum Einstein–Maxwell equations with a negative cosmological constant. The families include an infinite-dimensional family of solutions with the usual AdS conformal structure at conformal… read more here.
Keywords: cosmological constant; negative cosmological; einstein maxwell; maxwell equations ... See more keywords
Modelling and structure-preserving discretization of Maxwell’s equations as port-Hamiltonian system
Sign Up to like & getrecommendations! Published in 2020 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2020.12.1355
Abstract: Abstract The modelling and discretization of the boundary controlled 3D Maxwell’s equations as a port-Hamiltonian system is addressed. The proposed scheme, based on the Partitioned Finite Element Method (PFEM), originally proposed in Cardoso-Ribeiro et al.… read more here.
Keywords: equations port; discretization; maxwell equations; port hamiltonian ... See more keywords
Maxwell's equations explain why irreversible electroporation will not heat up a metal stent
Sign Up to like & getrecommendations! Published in 2021 at "International Journal of Heat and Mass Transfer"
DOI: 10.1016/j.ijheatmasstransfer.2021.120962
Abstract: Abstract Irreversible Electroporation (IRE) is a promising clinical ablation therapy for the treatment of cancer, but issues with the generation of heat must be solved before safe and effective clinical results can be obtained. In… read more here.
Keywords: heat; metal stent; maxwell equations; irreversible electroporation ... See more keywords
A centrally symmetric exact solution of the Maxwell's equations in logarithmically nonlinear media
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DOI: 10.1016/j.ijleo.2016.11.204
Abstract: Abstract In this paper, we present a different method to get explicit exact solutions of the Maxwell's equations for the spherical wave in logarithmically nonlinear media. We also prove that the solution seeking routine is… read more here.
Keywords: nonlinear media; logarithmically nonlinear; symmetric exact; maxwell equations ... See more keywords
Approximate impedance for time-harmonic Maxwell's equations in a non planar domain with contrasted multi-thin layers
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124141
Abstract: Abstract The aim of this paper is to give asymptotic models for the impedance of contrasted multi-thin layers for the harmonic Maxwell's equations. We start from a transmission problem which describes the scattering of electromagnetic… read more here.
Keywords: harmonic maxwell; impedance; multi thin; maxwell equations ... See more keywords
Separation of Maxwell equations in Kerr–NUT–(A)dS spacetimes
Sign Up to like & getrecommendations! Published in 2018 at "Nuclear Physics B"
DOI: 10.1016/j.nuclphysb.2018.06.019
Abstract: Abstract In this paper we explicitly demonstrate separability of the Maxwell equations in a wide class of higher-dimensional metrics which include the Kerr–NUT–(A)dS solution as a special case. Namely, we prove such separability for the… read more here.
Keywords: separation maxwell; tensor; kerr nut; maxwell equations ... See more keywords
Vlasov–Maxwell equations with spin effects
Sign Up to like & getrecommendations! Published in 2023 at "Journal of Plasma Physics"
DOI: 10.1017/s0022377823000314
Abstract: We present a numerical method to solve the Vlasov–Maxwell equations for spin-1/2 particles, in a semiclassical approximation where the orbital motion is treated classically while the spin variable is fully quantum. Unlike the spinless case,… read more here.
Keywords: phase space; maxwell equations; spin effects; vlasov maxwell ... See more keywords
Infinitely many solutions of fractional Schrödinger–Maxwell equations
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Physics"
DOI: 10.1063/5.0028800
Abstract: In this article, we investigate the existence of infinitely many solutions to the 3D fractional Schrodinger–Maxwell equations (−Δ)su + V(x)u + ϕu = λf(x, u), (−Δ)sϕ = u2, where 0 < s < 1, λ… read more here.
Keywords: fractional schr; solutions fractional; many solutions; infinitely many ... See more keywords
Fundamental properties of solutions to fractional-order Maxwell's equations
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Electromagnetic Waves and Applications"
DOI: 10.1080/09205071.2020.1801520
Abstract: In this paper, fundamental properties of solutions to fractional-order (FO) Maxwell's equations are analysed. As a starting point, FO Maxwell's equations are introduced in both time and frequency domains. Then, we introduce and prove the… read more here.
Keywords: properties solutions; order; solutions fractional; maxwell equations ... See more keywords
Evidence for Maxwell’s equations, fields, force laws and alternative theories of classical electrodynamics
Sign Up to like & getrecommendations! Published in 2018 at "European Journal of Physics"
DOI: 10.1088/1361-6404/aadf9b
Abstract: The set of equations known today as Maxwell's equations along with a few constitutive equations lie at the heart of classical electromagnetism. A common misconception held by many is that Maxwell's equations are essential, and… read more here.
Keywords: electromagnetism; electrodynamics; evidence; maxwell equations ... See more keywords