Academic literature on the topic 'Equation de Maxwell'

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Journal articles on the topic "Equation de Maxwell"

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Ye, Jianyu. "Maxwell’s Equation and Its Applications in Electromagnetism." Highlights in Science, Engineering and Technology 81 (January 26, 2024): 331–35. http://dx.doi.org/10.54097/cett9m66.

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As people always admitted that James Clerk Maxwell is one of the greatest scientists in the world, but major people may do not know the source of this glory. This paper is dedicated to give a rough impression of Maxwell and his experiences. Especially, the author then focuses on the well-known Maxwell’ equations and attempt to illustrate them in simplest tune so that those people with weak knowledge bases but interested in Maxwell can recognize his imperishable contribution easily. This article reviews the history of electromagnetism and then focus on Maxwell himself, especially Maxwell’s equa
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BARTHELMÉ, RÉGINE, PATRICK CIARLET, and ERIC SONNENDRÜCKER. "GENERALIZED FORMULATIONS OF MAXWELL'S EQUATIONS FOR NUMERICAL VLASOV–MAXWELL SIMULATIONS." Mathematical Models and Methods in Applied Sciences 17, no. 05 (2007): 657–80. http://dx.doi.org/10.1142/s0218202507002066.

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When solving numerically approximations of the Vlasov–Maxwell equations, the source terms in Maxwell's equations coming from the numerical solution of the Vlasov equation do not generally satisfy the continuity equation which is required for Maxwell's equations to be well-posed. Hence it is necessary to introduce generalized Maxwell's equations which remain well-posed when there are errors in the sources. Different such formulations have been introduced previously. The aim of this paper is to perform their mathematical analysis and verify the existence and uniqueness of the solution.
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Kalauni, Pushpa, and J. C. A. Barata. "Reconstruction of symmetric Dirac–Maxwell equations using nonassociative algebra." International Journal of Geometric Methods in Modern Physics 12, no. 03 (2015): 1550029. http://dx.doi.org/10.1142/s0219887815500292.

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In the presence of sources, the usual Maxwell equations are neither symmetric nor invariant with respect to the duality transformation between electric and magnetic fields. Dirac proposed the existence of magnetic monopoles for symmetrizing the Maxwell equations. In the present work, we obtain the fully symmetric Dirac–Maxwell's equations (i.e. with electric and magnetic charges and currents) as a single equation by using 4 × 4 matrix presentation of fields and derivative operators. This matrix representation has been derived with the help of the algebraic properties of quaternions and octonio
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Rodrigues, Waldyr A. "The relation between Maxwell, Dirac, and the Seiberg-Witten equations." International Journal of Mathematics and Mathematical Sciences 2003, no. 43 (2003): 2707–34. http://dx.doi.org/10.1155/s0161171203210218.

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We discuss unsuspected relations between Maxwell, Dirac, and the Seiberg-Witten equations. First, we present the Maxwell-Dirac equivalence (MDE) of the first kind. Crucial to that proposed equivalence is the possibility of solving for ψ (a representative on a given spinorial frame of a Dirac-Hestenes spinor field) the equation F=ψγ21ψ˜, where F is a given electromagnetic field. Such task is presented and it permits to clarify some objections to the MDE which claim that no MDE may exist because F has six (real) degrees of freedom and ψ has eight (real) degrees of freedom. Also, we review the ge
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CIARLET, PATRICK, and SIMON LABRUNIE. "NUMERICAL ANALYSIS OF THE GENERALIZED MAXWELL EQUATIONS (WITH AN ELLIPTIC CORRECTION) FOR CHARGED PARTICLE SIMULATIONS." Mathematical Models and Methods in Applied Sciences 19, no. 11 (2009): 1959–94. http://dx.doi.org/10.1142/s0218202509004017.

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When computing numerical solutions to the Vlasov–Maxwell equations, the source terms in Maxwell's equations usually fail to satisfy the continuity equation. Since this condition is required for the well-posedness of Maxwell's equations, it is necessary to introduce generalized Maxwell's equations which remain well-posed when there are errors in the sources. These approaches, which involve a hyperbolic, a parabolic and an elliptic correction, have been recently analyzed mathematically. The goal of this paper is to carry out the numerical analysis for several variants of Maxwell's equations with
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Dzhunushaliev, Vladimir, and Vladimir Folomeev. "Nonperturbative Quantization Approach for QED on the Hopf Bundle." Universe 7, no. 3 (2021): 65. http://dx.doi.org/10.3390/universe7030065.

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We consider the Dirac equation and Maxwell’s electrodynamics in R×S3 spacetime, where a three-dimensional sphere is the Hopf bundle S3→S2. In both cases, discrete spectra of classical solutions are obtained. Based on the solutions obtained, the quantization of free, noninteracting Dirac and Maxwell fields is carried out. The method of nonperturbative quantization of interacting Dirac and Maxwell fields is suggested. The corresponding operator equations and the infinite set of the Schwinger–Dyson equations for Green’s functions is written down. We write a simplified set of equations describing
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Almalki, Adel, Yazen M. Alawaideh, Bashar M. Al-Khamiseh, and Samer E. Alawaideh. "Hamilton formulation for the electrodynamics of generalized maxwell using fractional derivatives." Journal of Interdisciplinary Mathematics 26, no. 4 (2023): 795–808. http://dx.doi.org/10.47974/jim-1594.

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A comparative analysis of the Hamiltonian and Lagrangian equations for the Maxwell field was conducted, and it was demonstrated that both methods are equivalent. Dirac’s and Euler’s techniques were employed to handle the Hamiltonian approach. Additionally, a novel fractional Hamilton formulation was developed for the Maxwell field using fractional derivatives. This formulation yielded a fractional Riemann-Liouville derivative operator and a fractional Hamilton function in terms of the variables Ai, Aj, and A0. The effectiveness of this approach was verified by employing it to examine Maxwell’s
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Vedenyapin, Victor, Nikolay Fimin, and Valery Chechetkin. "The system of Vlasov–Maxwell–Einstein-type equations and its nonrelativistic and weak relativistic limits." International Journal of Modern Physics D 29, no. 01 (2020): 2050006. http://dx.doi.org/10.1142/s0218271820500066.

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We considered derivation of Vlasov–Einstein–Maxwell system of equations from the first principles, i.e. using classical Maxwell–Einstein–Hilbert action principle. We know many papers in which the theories indicated as Einstein–Vlasov, Vlasov–Maxwell–Einstein, Einstein–Maxwell–Boltzmann are discussed, and we discuss difficulties of usually used equations. We use another way of derivation and obtain an alternative version based on the generalized Fock–Weinberg form of equation of motion.
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Vedenyapin, Victor Valentinovich. "Vlasov-Maxwell-Einstein Equation." Keldysh Institute Preprints, no. 188 (2018): 1–20. http://dx.doi.org/10.20948/prepr-2018-188.

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SALTI, MUSTAFA, and ALI HAVARE. "ON THE EQUIVALENCE OF THE MASSLESS DKP EQUATION AND THE MAXWELL EQUATIONS IN THE SHUWER." Modern Physics Letters A 20, no. 06 (2005): 451–65. http://dx.doi.org/10.1142/s0217732305015768.

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In this paper, a general relativistic wave equation is written to deal with electromagnetic waves in the background of the Shuwer. We obtain the exact form of this equation in a second-order form. On the other hand, by using spinor form of the Maxwell equations the propagation problem is reduced to the solution of the second-order differential equation of complex combination of the electric and magnetic fields. For these two different approaches, we obtain the spinors in terms of field strength tensor. We show that the Maxwell equations are equivalence to the mDKP equation in the Shuwer.
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Dissertations / Theses on the topic "Equation de Maxwell"

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Eliasson, Bengt. "Numerical Vlasov–Maxwell Modelling of Space Plasma." Doctoral thesis, Uppsala universitet, Avdelningen för teknisk databehandling, 2002. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-2929.

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The Vlasov equation describes the evolution of the distribution function of particles in phase space (x,v), where the particles interact with long-range forces, but where shortrange "collisional" forces are neglected. A space plasma consists of low-mass electrically charged particles, and therefore the most important long-range forces acting in the plasma are the Lorentz forces created by electromagnetic fields. What makes the numerical solution of the Vlasov equation a challenging task is that the fully three-dimensional problem leads to a partial differential equation in the six-dimensional
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Heintze, Eric. "Résolution des équations de Maxwell tridimensionnelles instationnaires par une méthode d'éléments finis conformes." Paris 6, 1992. http://www.theses.fr/1992PA066698.

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Shi, Qiang. "Sharp estimates of the transmission boundary value problem for dirac operators on non-smooth domains." Diss., Columbia, Mo. : University of Missouri-Columbia, 2006. http://hdl.handle.net/10355/4358.

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Thesis (Ph.D.)--University of Missouri-Columbia, 2006.<br>The entire dissertation/thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file (which also appears in the research.pdf); a non-technical general description, or public abstract, appears in the public.pdf file. Title from title screen of research.pdf file viewed on (May 1, 2007) Vita. Includes bibliographical references.
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Azam, Md Ali. "Wave reflection from a lossy uniaxial media." Ohio : Ohio University, 1995. http://www.ohiolink.edu/etd/view.cgi?ohiou1179854582.

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Bostan, Mihai. "Etude numérique des solutions périodiques du système de Vlasov-Maxwell." Phd thesis, Ecole des Ponts ParisTech, 1999. http://tel.archives-ouvertes.fr/tel-00005611.

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La modélisation de dispositifs tels que les tubes à décharge ou les diodes à vide soumises à un potentiel harmonique repose sur les équations de Vlasov-Maxwell ou de Vlasov-Poisson en régime périodique. Des résultats dans le cas périodique semblent inexistants. D'autre part, ces régimes sont très difficilement atteints lors de simulations numériques. Le but de ce travail a été d'étudier théoriquement et numériquement les régimes périodiques en transport de particules chargées soumises au champ électro-magnétique. Dans un premiers temps nous présenterons les équations de Maxwell sous forme cons
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Marchand, Renier Gustav. "Fine element tearing and interconnecting for the electromagnetic vector wave equation in two dimensions /." Link to online version, 2007. http://hdl.handle.net/10019/363.

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Lu, Kang. "The Application of Generalised Maxwell-Stefan Equations to Protein Gels." Thesis, University of Canterbury. Chemical and Process Engineering, 2007. http://hdl.handle.net/10092/1236.

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The removal of milk fouling deposits often requires the diffusion of electrolyte solutions such as sodium hydroxide through a gel. Very often more than one single anion and one single cation are involved and thus the modelling of such diffusion requires a multicomponent description. Diffusion of electrolyte solutions through gels can be modelled using the Maxwell-Stefan equation. The driving forces for diffusion are the chemical potential gradients of ionic species and the diffusion potential, i.e., the electrostatic potential induced by diffusion of the ions. A model based on the Maxwell-Stef
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Samet, Bessem. "L'analyse asymptotique topologique pour les équations de Maxwell et applications." Toulouse 3, 2004. http://www.theses.fr/2004TOU30021.

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Shao, Xi. "Electromagnetic modeling with a new 3D alternating-direction-implicit (ADI) Maxwell equation solver." College Park, Md. : University of Maryland, 2004. http://hdl.handle.net/1903/1821.

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Thesis (M.S.) -- University of Maryland, College Park, 2004.<br>Thesis research directed by: Dept. of Electrical and Computer Engineering. Title from t.p. of PDF. Includes bibliographical references. Published by UMI Dissertation Services, Ann Arbor, Mich. Also available in paper.
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Stachura, Eric Christopher. "On Generalized Solutions to Some Problems in Electromagnetism and Geometric Optics." Diss., Temple University Libraries, 2016. http://cdm16002.contentdm.oclc.org/cdm/ref/collection/p245801coll10/id/403050.

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Mathematics<br>Ph.D.<br>The Maxwell equations of electromagnetism form the foundation of classical electromagnetism, and are of interest to mathematicians, physicists, and engineers alike. The first part of this thesis concerns boundary value problems for the anisotropic Maxwell equations in Lipschitz domains. In this case, the material parameters that arise in the Maxwell system are matrix valued functions. Using methods from functional analysis, global in time solutions to initial boundary value problems with general nonzero boundary data and nonzero current density are obtained, only assumi
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Books on the topic "Equation de Maxwell"

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Kravchenko, Vladislav V. Applied quaternionic analysis. Heldermann, 2003.

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I, Hariharan S., Ida Nathan, and United States. National Aeronautics and Space Administration., eds. Solving time-dependent two-dimensional eddy current problems. National Aeronautics and Space Administration, 1988.

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I, Hariharan S., Ida Nathan, and United States. National Aeronautics and Space Administration., eds. Solving time-dependent two-dimensional eddy current problems. National Aeronautics and Space Administration, 1988.

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Lee, Min Eig. Solving time-dependent two-dimensional eddy current problems. Institute for Computational Mechanics in Propulsion, 1988.

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Hydrodynamic limits of the Boltzmann equation. Springer, 2009.

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Tsutomu, Kitoh, ed. Introduction to optical waveguide analysis: Solving Maxwell's equations and the Schrödinger equation. J. Wiley, 2001.

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Giansante, Peter Daniel. High-accuracy finite-difference methods for the time-domain Maxwell equations. University of Toronto, Graduate Dept. of Aerospace Science and Engineering, 1994.

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Giansante, Peter Daniel. High-accuracy finite-difference methods for the time-domain Maxwell equations. National Library of Canada, 1994.

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Flato, M. Asymptotic completeness, global existence and the infrared problem for the Maxwell-Dirac equations. American Mathematical Society, 1997.

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Kawano, Kenji. Introduction to Optical Waveguide Analysis. John Wiley & Sons, Ltd., 2004.

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Book chapters on the topic "Equation de Maxwell"

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Schram, P. P. J. M. "Klimontovich Equation, B.B.G.K.Y.-Hierarchy and Vlasov-Maxwell Equations." In Kinetic Theory of Gases and Plasmas. Springer Netherlands, 1991. http://dx.doi.org/10.1007/978-94-011-3612-9_3.

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Muniz Oliva, Waldyr. "C. Quasi-Maxwell form of Einstein’s equation." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-540-45795-4_13.

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Schoenmaker, Wim. "Integrating Factors for Discretizing the Maxwell-Ampere Equation." In Computational Electrodynamics. River Publishers, 2022. http://dx.doi.org/10.1201/9781003337669-31.

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Imaikin, Valery, Alexander Komech, and Herbert Spohn. "Rotating Charge Coupled to the Maxwell Field: Scattering Theory and Adiabatic Limit." In Nonlinear Differential Equation Models. Springer Vienna, 2004. http://dx.doi.org/10.1007/978-3-7091-0609-9_11.

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Keller, Jaime. "Dirac form of Maxwell Equation ℤ n -Graded Algebras." In Spinors, Twistors, Clifford Algebras and Quantum Deformations. Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-011-1719-7_23.

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Parvizi, Maryam, Amirreza Khodadadian, Sven Beuchler, and Thomas Wick. "Hierarchical LU Preconditioning for the Time-Harmonic Maxwell Equation." In Lecture Notes in Computational Science and Engineering. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-50769-4_47.

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Scully, Marlan O. "The Time-Dependent Schrödinger Equation Revisited: Quantum Optical and Classical Maxwell Routes to Schrödinger’s Wave Equation." In Time in Quantum Mechanics II. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-03174-8_2.

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Yetkin, E. F., H. Dag, and W. H. A. Schilders. "MOESP Algorithm for Converting One-dimensional Maxwell Equation into a Linear System." In Scientific Computing in Electrical Engineering. Springer Berlin Heidelberg, 2007. http://dx.doi.org/10.1007/978-3-540-71980-9_44.

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Yesmahanova, K. R., G. N. Shaikhova, G. T. Bekova, and Zh R. Myrzakulova. "Determinant Reprentation of Dardoux Transformation for the (2+1)-Dimensional Schrödinger-Maxwell-Bloch Equation." In Intelligent Mathematics II: Applied Mathematics and Approximation Theory. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-30322-2_13.

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Bettini, Alessandro. "Maxwell Equations." In Undergraduate Lecture Notes in Physics. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-40871-2_10.

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Conference papers on the topic "Equation de Maxwell"

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Erikson, W. L., and Surendra Singh. "Maxwell-Gaussian optical beams." In OSA Annual Meeting. Optica Publishing Group, 1992. http://dx.doi.org/10.1364/oam.1992.wa1.

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Paraxial Gaussian-beam-like solutions of the scalar wave equation, often used to model laser beams, do not satisfy Maxwell's equations. Paraxial-beam-like solutions that satisfy Maxwell's equations are constructed from the solutions of the scalar wave equation. Polarization properties of these Maxwell-Gaussian beams in free space are discussed. It is found that a Maxwell-Gaussian beam linearly polarized in the x direction and propagating in the z direction has a weak cross polarization component in the y direction in addition to a longitudinal component in the direction of propagation. These p
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Wang, Feng, Jiang Wei Fan, Xiao Gang Han, and Qin Lei Sun. "Discussion about Maxwell equation based on monopole." In 2013 IEEE International Conference on Applied Superconductivity and Electromagnetic Devices (ASEMD). IEEE, 2013. http://dx.doi.org/10.1109/asemd.2013.6780813.

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Kovács, Róbert, and Patrizia Rogolino. "Analysis of the nonlinear Maxwell-Cattaneo-Vernotte equation." In Entropy 2021: The Scientific Tool of the 21st Century. MDPI, 2021. http://dx.doi.org/10.3390/entropy2021-09870.

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Ru, P., P. K. Jakobsen, and J. V. Moloney. "Nonlocal Adiabatic Elimination in the Maxwell-Bloch Equation." In Nonlinear Dynamics in Optical Systems. Optica Publishing Group, 1992. http://dx.doi.org/10.1364/nldos.1992.mc6.

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Adiabatic elimination is a standard procedure applied to the Maxwell-Bloch laser equations when one variable or more is slaved to the remaining variables. An important case in point is a laser with an extremely large gain bandwidth satisfying the condition γ⊥ ≫ γ||, k where γ⊥ is the polarization dephasing rate, γ|| the de-energization rate and k the cavity damping constant. For example, color center gain media satisfy this criterion and support hundreds of thousands of longitudinal modes in synchronous pumped mode-locking operation. For simple single mode plane wave models the crude adiabatic
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Mulyanto, Fiki Taufik Akbar, and Bobby Eka Gunara. "Maxwell-Higgs equation on higher dimensional static curved spacetimes." In THE 5TH INTERNATIONAL CONFERENCE ON MATHEMATICS AND NATURAL SCIENCES. AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4930630.

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Chen, Yongpin P., Yu Mao Wu, and Wei E. I. Sha. "Modeling Rabi oscillation by rigorously solving Maxwell-Schrödinger equation." In 2015 IEEE 6th International Symposium on Microwave, Antenna, Propagation, and EMC Technologies (MAPE). IEEE, 2015. http://dx.doi.org/10.1109/mape.2015.7510448.

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Asakura, S., Y. Ashida, H. Eida, M. Kida, A. Imayoshi, and T. Fujikawa. "A New Saturation Equation based on Maxwell-Garnet Model." In The 7th International Symposium on Recent Advances in Exploration Geophysics (RAEG 2003). European Association of Geoscientists & Engineers, 2003. http://dx.doi.org/10.3997/2352-8265.20140041.

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Alekseev, G. V., A. V. Lobanov, and Yu E. Spivak. "Modeling and optimization in cloaking problems for Maxwell equation." In 2016 International Conference on Electromagnetics in Advanced Applications (ICEAA). IEEE, 2016. http://dx.doi.org/10.1109/iceaa.2016.7731422.

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Ding, Liang, and Bo Han. "A Multiresolution Method for Distributed Conductivity Estimation of Maxwell Equation." In 2009 International Joint Conference on Computational Sciences and Optimization, CSO. IEEE, 2009. http://dx.doi.org/10.1109/cso.2009.302.

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Mundell-Thomas, Karema, and Victor M. Job. "Mathematical Model of Unsteady MHD Couette Flow of Maxwell Viscoelastic Material and Heat Transfer with Ramped Wall Temperature." In The International Conference on Applied Research and Engineering. Trans Tech Publications Ltd, 2024. http://dx.doi.org/10.4028/p-lt6gso.

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The time-dependent magnetohydrodynamic (MHD) Couette flow of Maxwell material in a rotating system with ramped wall temperature has been examined under Ohmic (Joule) heating. The Continuity equation, Cauchy’s equation of motion, the constitutive equation for the Maxwell model, and the energy equation with Ohmic heating with relevant initial and boundary conditions are all considered in obtaining a mathematical model for the investigation. The finite element technique is applied to numerically solve the non-dimensionalized governing equations using the mathematical software MATLAB. The values o
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Reports on the topic "Equation de Maxwell"

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Hindmarsh, A. Index and consistency analysis for DAE (differential-algebraic equation) systems for Stefan-Maxwell diffusion-reaction problems. Office of Scientific and Technical Information (OSTI), 1990. http://dx.doi.org/10.2172/6934906.

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Kabel, A. MAXWELL-LORENTZ EQUATIONS IN GENERAL FRENET-SERRET COORDINATES. Office of Scientific and Technical Information (OSTI), 2004. http://dx.doi.org/10.2172/833082.

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Tsyfra, Ivan. Symmetry of the Maxwell and Minkowski Equations System. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-9-2007-75-81.

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Shore, B. W., R. Sacks, and T. Karr. Coupled Maxwell-Bloch equations for pulsed Raman transitions. Office of Scientific and Technical Information (OSTI), 1987. http://dx.doi.org/10.2172/6288592.

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Brizard, A. Nonlinear gyrokinetic Maxwell-Vlasov equations using magnetic coordinates. Office of Scientific and Technical Information (OSTI), 1988. http://dx.doi.org/10.2172/6793579.

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Zhiquiang, C., and J. Jones. Least-Squares Approaches for the Time-Dependent Maxwell Equations. Office of Scientific and Technical Information (OSTI), 2001. http://dx.doi.org/10.2172/15002754.

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Shang, J. S. Characteristic Based Methods for the Time-Domain Maxwell Equations. Defense Technical Information Center, 1993. http://dx.doi.org/10.21236/ada272973.

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Perugia, I., D. Schoetzau, and P. Monk. Stabilized Interior Penalty Methods for the Time-Harmonic Maxwell Equations. Defense Technical Information Center, 2001. http://dx.doi.org/10.21236/ada437465.

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Puta, Mircea, Marius Butur, Gheorghe Goldenthal, and Ionel Mos. Maxwell–Bloch Equations with a Quadratic Control About Ox1 Axis. GIQ, 2012. http://dx.doi.org/10.7546/giq-2-2001-280-286.

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Gottlieb, David. High-Order Time-Domain Methods for Maxwells Equations. Defense Technical Information Center, 2000. http://dx.doi.org/10.21236/ada387163.

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