How Do You Linearize the Euler Equations for Fluid Motion?

[ginhung]

1. Homework Statement

Linearize the euler equations of fluid motion, write as a single partial differential equation for example the pressure pertubation

Homework Equations

The euler equations of fluid dynamics

The Attempt at a Solution

Not sure how I would be able to do this.

 

[mfb]

Do you know how Taylor series work? Try to use the same concept here around a point x=0 (or something else).

 

[ginhung]

I'm not sure how that would help.

 

[mfb]

I think it will give linear equations for linear expressions of E, v and so on.