Maxwell's equations, or Maxwell–Heaviside equations, are a set of coupled partial differential equations that, together with the Lorentz force law, form...

Hertz–Heaviside equations and the Maxwell–Hertz equations, but are now universally known as Maxwell's equations. Heaviside's equations, which are taught in textbooks...

fields are related to the distribution of charges and currents via Maxwell's equations, the EFE relate the spacetime geometry to the distribution of mass–energy...

Maxwell's relations are a set of equations in thermodynamics which are derivable from the symmetry of second derivatives and from the definitions of the...

fundamental physics, the matrix representations of the Maxwell's equations are a formulation of Maxwell's equations using matrices, complex numbers, and vector calculus...

theorem, (or sometimes simply called Gauss's theorem) is one of Maxwell's equations. It relates the distribution of electric charge to the resulting...

 129 Pauli 1927. Dirac 1928. Juvet, G. (1930). "Opérateurs de Dirac et équations de Maxwell". Commentarii Mathematici Helvetici (in French). 2: 225–235...

} The Maxwell–Faraday equation also can be written in an integral form using the Kelvin–Stokes theorem. So we have, the Maxwell Faraday equation: ∮ ∂ Σ...

Maxwell's equations, a set of four partial differential equations which provide a complete description of classical electromagnetic fields. Maxwell's...

relativity the Maxwell equations have the same form in all inertial frames of reference. In the framework of general relativity the Maxwell equations or the Einstein...

Functional equation Functional equation (L-function) Constitutive equation Laws of science Defining equation (physical chemistry) List of equations in classical...

electromagnetism). Starting with Gauss's law for electricity (also one of Maxwell's equations) in differential form, one has ∇ ⋅ D = ρ f , {\displaystyle \mathbf...

problems. Coupled with Maxwell's equations, they can be used to model and study magnetohydrodynamics. The Navier–Stokes equations are also of great interest...

differential equations (equivalent to the Laplace transform), independently developed vector calculus, and rewrote Maxwell's equations in the form commonly...

g_{f}=g_{g}} is more fundamental, the Maxwell construction often requires less effort to implement. From the van der Waals equation applied to the saturated liquid...

we use more complex relations such as Maxwell relations, the Clapeyron equation, and the Mayer relation. Maxwell relations in thermodynamics are critical...

2017-02-10. Retrieved 2016-05-16. Juvet, G. (1930). "Opérateurs de Dirac et équations de Maxwell". Commentarii Mathematici Helvetici. 2 (1): 225–235. doi:10...

The Friedmann equations, also known as the Friedmann-Lemaître or FL equations, are a set of equations in physical cosmology that govern the expansion...

\rho }{\partial t}}} Consistency with Maxwell's equations One of Maxwell's equations, Ampère's law (with Maxwell's correction), states that ∇ × H = J +...

or "master equations" are: The four most common Maxwell's relations are: More relations include the following. Other differential equations are: U = N...

In physics, the Young–Laplace equation (/ləˈplɑːs/) is an algebraic equation that describes the capillary pressure difference sustained across the interface...

the 5D Einstein equations yield the 4D Einstein field equations, the Maxwell equations for the electromagnetic field, and an equation for the scalar field...

generalization of this equation requires that space and time derivatives must enter symmetrically as they do in the Maxwell equations that govern the behavior...

Electrodynamics of Moving Bodies," explains how to transform Maxwell's equations. This equation considers two inertial frames. The primed frame is moving...

general asymptotically flat and stationary solution of the Einstein–Maxwell equations in general relativity that describes the spacetime geometry in the...

such, e.g. by James Clerk Maxwell who reviewed it in Nature in a laudatory manner. In this thesis he derived the equation of state bearing his name....

there were 20 equations in total. In his Treatise on Electricity and Magnetism (1873), Maxwell reduced them to eight. Maxwell used his equations to predict...

James Maxwell Bardeen (May 9, 1939 – June 20, 2022) was an American physicist, well known for his work in general relativity, particularly his role in...

potential Magnetohydrodynamics Maxwell–Boltzmann distribution Mixmaster universe Thermodynamics Vicsek model Vlasov equation Maxwell, J. C. (1867). "On the Dynamical...

The Kerr–Newman–de–Sitter metric (KNdS) is the one of the most general stationary solutions of the Einstein–Maxwell equations in general relativity that...