Relation between Eulerian and Lagrangian Method

  The Eulerian description can be written as :

(6.5)

                                  or

The integration of Eq. (6.5) yields the constants of integration which are to be found from the initial coordinates of the fluid particles.

  Hence, the solution of Eq. (6.5) gives the equations of Lagrange as,

                                                                      or

   Above relation are same as Lagrangian formulation.

    In principle,  the Lagrangian method of description can always be derived from the Eulerian method.

Let us do an example