- #1

paccali

- 6

- 0

## Homework Statement

Eulerian velocity: [tex]V_{1}=-z_{1}^{2}[/tex]

[tex]V_{1}=\frac{dz_{1}}{dt}[/tex]

[tex]z_{1}(t=0)=x_{1}[/tex]

This is supposed to become the Lagrangian velocity of:

[tex]z_{1}=\frac{x_{1}}{1+tx_{1}}[/tex]

I don't understand how to take the Eulerian velocity and transform it to Lagrangian.

## Homework Equations

## The Attempt at a Solution

[tex]\frac{dz_{1}}{dt}+z_{1}^{2}=0[/tex]

After this, I don't know how to take this and move forward.

I've been working the problem for a day, and I still can't get any closer. I can take Lagrangian and transform it to Eulerian, but I don't know how to do the reverse. TJ Chung's General Continuum Mechanics book is poorly developed for examples and proofs.

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