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## Homework Statement

I've got the 3D Euler equations

[itex]\frac{\delta u}{\delta t} + (u\cdot \nabla)u = -\nabla p[/itex]

[itex]\nabla \cdot u = 0 [/itex]

I've been given that the impulse is

[itex]\gamma = u + \nabla\phi[/itex]

## Homework Equations

And I need to derive

[itex] \frac{D\gamma}{Dt} = -(\nabla u)^T \gamma + \nabla \lambda [/itex]

[itex] \frac{D\phi}{Dt} = p - \frac{\left|u\right|^2}{2} + \lambda [/itex]

## The Attempt at a Solution

I've subbed the impulse equation into the first equation but don't really know where to go from there?