Deriving equation from 3D Euler Equations.

  • Thread starter Morrisman
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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?
 

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