# Equations

### Some articles on equations, equation:

Dynamical Billiards - Equations of Motion
... 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 ...
Finite Potential Well - Particle in A 1-dimensional Box - Finding Wavefunctions For The Bound State
... Solutions to the Schrödinger equation must be continuous, and continuously differentiable ... requirements are boundary conditions on the differential equations previously derived ... must match up at the dividing points These equations have two sorts of solutions, symmetric, for which and, and antisymmetric, for which and ...
Reynolds Stress - Reynolds Averaging of The Navier–Stokes Equations
... incompressible, viscous, Newtonian fluid, the continuity and momentum equations—the incompressible Navier–Stokes equations—can be written as and ... 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 hand side vanishes as a ...
Averaging and The Reynolds Stress
... 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 equation of motion for this case, also called the Proca equation, is which is equivalent to the conjunction of with which is the ... 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 ...