In fluid field, Bernard  described the equations of motion for six velocity potentials of perfect fluids which led to a variational principle that reproduced the Eulerian equation
Christodoulou addresses the problem of the development of shocks in the context of the Eulerian equations
of the mechanics of compressible fluids.
The solving method in Eulerian equations
is based on the division of the governing equations.
Toorman  derived Eulerian equations
for the vertical flux and momentum of suspended particles in dilute sediment-laden open-channel flow in equilibrium using the two-fluid approach.
DYTRAN software package is used as the solver, enabling solving Lagrangian and Eulerian equations
. For this unique reason, it is possible to effectively model and solve fluid and elastic body interaction tasks.
Coverage includes (for example) Eulerian equations
of hydrodynamics, Navier- Stokes equations, stellar structure equations, and equations of radiation hydrodynamics.