Now, the equilibrium plasma flow is written

(3.47) |

The linearized form of Equation (3.45) is

where is the perturbed plasma velocity, and use has been made of Equations (3.46) and (3.48). Let us write It follows that where use has been made of Equations (3.8) and (3.19). Hence, writing Equation (3.49) reduces to where use has been made of Equation (3.42).