This group gathers theorems about electromagnetic fields, light and the mechanics of continuous media, including fluids and elastic solids. It covers conservation of energy for electromagnetic fields, uniqueness and scattering results, the theory of rays, circulation and lift in fluid flow, and the equilibrium of loaded elastic structures. A theorem belongs here when its cited article places it in electrodynamics, optics, fluid mechanics or the theory of elasticity.
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Electromagnetism, Optics and Continuum Mechanics
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Earnshaw's Theorem (Wikipedia)
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Earnshaw's theorem states that a collection of point charges cannot be maintained in a stable stationary equilibrium configuration solely by the electrostatic interaction of the charges.
View the Source Poynting's theorem, Wikipedia
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In electrodynamics, Poynting's theorem is a statement of conservation
View the Source Birkhoff's theorem (electromagnetism) (Wikipedia)
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In physics, in the context of electromagnetism, Birkhoff's theorem concerns spherically symmetric
View the Source Electromagnetism uniqueness theorem - Wikipedia
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The electromagnetism uniqueness theorem states the uniqueness (but
View the Source Malus-Dupin theorem (Wikipedia)
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The Malus-Dupin theorem is a theorem in geometrical optics discovered by Étienne-Louis Malus in 1808 and
View the Source Optical theorem, Wikipedia
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\sigma _{\mathrm {tot} }} includes both elastic and inelastic scattering. The generalized optical theorem
View the Source Ewald-Oseen extinction theorem, Wikipedia
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In optics, the Ewald-Oseen extinction theorem, sometimes
View the Source Shockley-Ramo theorem, Wikipedia
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The Shockley-Ramo theorem is a method for calculating the electric current induced by a charge moving in the vicinity
View the Source Antidynamo Theorem (Wikipedia)
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is one of several results that restrict the type of magnetic fields that may be produced by dynamo action.
View the Source Kelvin's circulation theorem (Wikipedia)
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In fluid mechanics, Kelvin's circulation theorem states:In a barotropic
View the Source Taylor-Proudman theorem, Wikipedia
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In fluid mechanics, the Taylor-Proudman theorem (after Geoffrey
View the Source Scallop theorem - Wikipedia
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net displacement in a low-Reynolds number Newtonian fluid environment, i.e. a fluid that is highly viscous.
View the Source Kutta-Joukowski theorem (Wikipedia)
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The Kutta-Joukowski theorem is a fundamental theorem in aerodynamics that relates the lift per unit span of an airfoil
View the Source Betti's theorem - Wikipedia
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Betti's theorem, also known as Maxwell-Betti reciprocal work theorem, discovered by
View the Source Clapeyron's theorem - Wikipedia
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In the linear theory of elasticity Clapeyron's theorem states that the potential
View the Source Theorem of three moments - Wikipedia
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In civil engineering and structural analysis Clapeyron's theorem of three moments (by Émile
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