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

Averaging and The Reynolds Stress

... The conventional ensemble rules of averaging are that One splits the Euler

... The conventional ensemble 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 ...Reynolds Stress - Reynolds Averaging of The Navier–Stokes

... viscous, Newtonian fluid, the continuity and momentum

**Equations**... viscous, Newtonian fluid, the continuity and momentum

**equations**—the incompressible Navier–Stokes**equations**—can be written as and where is the Lagrangian derivative or the ... 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 ...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 manifold ...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 condition ... 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 ...