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A generalized Biot–Savart law and its application to the active scalar equations
NonlinearityIn this paper, we study a generalized Biot–Savart law for suitable velocity that possibly diverges at infinity, and then show its application to the 2D general incompressible inviscid fluids.
Qionglei Chen, Xiaonan Hao, Chao Wang
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Journal of Physics & Optics Sciences
We have derived the empirical Biot-Savart law and Lorenz force as well as the dynamic term of the gravitational force based on Ether Dynamics. The dynamic term of gravitation, together with the static term of Newton’s law of gravitation, allows ...
L. Wang
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We have derived the empirical Biot-Savart law and Lorenz force as well as the dynamic term of the gravitational force based on Ether Dynamics. The dynamic term of gravitation, together with the static term of Newton’s law of gravitation, allows ...
L. Wang
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Transmission line sag and magnetic field analysis with sag parabolic equations and Biot-Savart law
International Journal of Electrical and Computer Engineering (IJECE)This study presents a novel approach to enhance the precision of calculating sag and magnetic fields beneath overhead transmission lines. The Biot-Savart law is integrated with parabolic equations to assign multiple magnetic field sources to each ...
M. Ahsan +9 more
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Fast and Accurate Evaluation of Biot-Savart Integrals over Spatial Curves in Periodic Domains
SIAM Journal on Scientific ComputingThe Biot-Savart law is relevant in physical contexts including electromagnetism and fluid dynamics. In the latter case, when the rotation of a fluid is confined to a set of very thin vortex filaments, this law describes the velocity field induced by the ...
J. I. Polanco
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ISMRM Annual Meeting
Numerous methods for field computations of RF coils have been developed in the past. All these methods are based on Maxwell's equations or their derived wave equation.
Mirsad Mahmutovic +2 more
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Numerous methods for field computations of RF coils have been developed in the past. All these methods are based on Maxwell's equations or their derived wave equation.
Mirsad Mahmutovic +2 more
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2017 IEEE International Symposium on Electromagnetic Compatibility & Signal/Power Integrity (EMCSI), 2017
S. Yoneda +4 more
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S. Yoneda +4 more
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Computation of neuromagnetic fields using finite-element method and Biot-Savart law
Medical and Biological Engineering and Computing, 2007S. P. V. D. Broeh, H. Zhou, M. Peters
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About the Biot-Savart-Laplace law and its use for calculations in high-voltage AC installations
, 2017Kletsel Mark Ya, A. Barukin, O. Talipov
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Scaling properties towards vortex reconnection under Biot–Savart evolution
, 2017Y. Kimura, K. Moffatt
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