### Some articles on *equations, equation*:

Dynamical Billiards -

... Because of the very simple structure of this Hamiltonian, the

**Equations**of Motion... Because of the very simple structure of this Hamiltonian, the

**equations**of motion for the particle, the Hamilton–Jacobi**equations**, are nothing other than the geodesic**equations**on the ...Reynolds Stress - Reynolds Averaging of The Navier–Stokes

... For instance, for an incompressible, viscous, Newtonian fluid, the continuity and momentum

**Equations**... For instance, for an incompressible, viscous, Newtonian fluid, the continuity and momentum

**equations**—the incompressible Navier–Stokes**equations**—can be ... Accordingly, the momentum**equation**becomes Now the continuity and momentum**equations**will be averaged ... After averaging, the continuity and momentum**equations**become and Using the chain rule on one of the terms of the left hand side, it is revealed that where the last term on the right ...Averaging and The Reynolds Stress

... rules of averaging are that One splits the Euler

... rules of averaging are that One splits the Euler

**equations**or the Navier-Stokes**equations**into an average and a fluctuating part ... One finds that upon averaging the fluid**equations**, a stress on the right hand side appears of the form ...Proca Action - Equation

... The Euler-Lagrange

... The Euler-Lagrange

**equation**of motion for this case, also called the Proca**equation**, is which is equivalent to the conjunction of with which is the Lorenz gauge ... When m = 0, the**equations**reduce to Maxwell's**equations**without charge or current ... The Proca**equation**is closely related to the Klein-Gordon**equation**, because it is second order in space and time ...