fluid mechanics and astrophysics, the relativistic Euler equations are a generalization of the Euler equations that account for the effects of general...

equation, a first order nonlinear ordinary differential equation Euler conservation equations, a set of quasilinear first-order hyperbolic equations used...

physics, specifically relativistic quantum mechanics (RQM) and its applications to particle physics, relativistic wave equations predict the behavior of...

thermodynamic equations List of equations in wave theory List of electromagnetism equations List of relativistic equations List of equations in fluid mechanics...

fluids. Relativistic Euler equations read ∂ ν T μ ν = 0 {\displaystyle \partial _{\nu }T^{\mu \nu }=0} in the non relativistic limit, these equations reduce...

The Schrödinger equation is a partial differential equation that governs the wave function of a non-relativistic quantum-mechanical system.: 1–2  Its discovery...

Klein–Gordon equation (Klein–Fock–Gordon equation or sometimes Klein–Gordon–Fock equation) is a relativistic wave equation, related to the Schrödinger equation. It...

parametric array). If relativistic effects are important, the speed of sound is calculated from the relativistic Euler equations. In fresh water the speed...

cosmology Relativistic Euler equations Lorentz ether theory Moving magnet and conductor problem Shape waves Relativistic heat conduction Relativistic disk...

}},t)\,.} and the Euler–Lagrange equations lead to the relativistic version of Newton's second law. The derivative of relativistic momentum with respect...

{K_{s}}{\rho }}},} If relativistic effects are important, the speed of sound is calculated from the relativistic Euler equations. In a non-dispersive medium...

and the closely related Euler equations is that Navier–Stokes equations take viscosity into account while the Euler equations model only inviscid flow...

} With these definitions, the Euler–Lagrange equations, or Lagrange's equations of the second kind Lagrange's equations (second kind) d d t ( ∂ L ∂ q...

equations are a system of partial differential equations for a connection on a vector bundle or principal bundle. They arise in physics as the Euler–Lagrange...

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

one can derive the relativistic Euler equations, which in fluid mechanics and astrophysics are a generalization of the Euler equations that account for...

This is a list of scientific equations named after people (eponymous equations). Contents A B C D E F G H I J K L M N O P R S T V W Y Z See also References...

theory List of relativistic equations List of equations in fluid mechanics List of equations in gravitation List of electromagnetism equations List of photonics...

the Madelung equations, or the equations of quantum hydrodynamics, are Erwin Madelung's alternative formulation of the Schrödinger equation for a spinless...

{L}}}{\partial q^{i}}}} ⁠. (Compare Hamilton's and Euler-Lagrange equations or see § Deriving Hamilton's equations). ∂ H ∂ q i = 0 {\displaystyle {\frac {\partial...

equation Hypergeometric differential equation Jimbo–Miwa–Ueno isomonodromy equations Painlevé equations Picard–Fuchs equation to describe the periods of elliptic...

the sine-Gordon equation is the only relativistic system due to its Lorentz invariance. This is the first derivation of the equation, by Bour (1862)....

spacetime. The corresponding equation is a relativistic wave equation called the Proca equation. The Proca action and equation are named after Romanian physicist...

specifically quantizing the equations of classical mechanics by replacing dynamical variables by operators. Relativistic quantum mechanics (RQM) is quantum...

operator-based wave equation often as a relativistic wave equation. The wave equation is a hyperbolic partial differential equation describing waves, including...

expansion). The first two terms of this expansion give the Euler equations and the Navier–Stokes equations. The higher terms have singularities. The problem of...

calculations.: 71  In 1928, Dirac wrote down a wave equation that described relativistic electrons: the Dirac equation. It had the following important consequences:...

differential equations that the system satisfies (e.g., Newton's second law or Euler–Lagrange equations), and sometimes to the solutions to those equations. However...

equation will lead to the Navier–Stokes equations. By assuming inviscid flow, the Navier–Stokes equations can further simplify to the Euler equations...

Rarita–Schwinger equation is the relativistic field equation of spin-3/2 fermions in a four-dimensional flat spacetime. It is similar to the Dirac equation for spin-1/2...