Euler equation refers actually to a set of equations named after Leonhard Euler. These equations are used in physical sciences in the field of fluid dynamics. They are also known as Eulerian functions of materials such as fluids. This is because the set of equations govern adiabatic and inviscid flow of liquids. Fluids are ubiquitous in nature and are usually simulated by finding solutions to the Navier-Stokes model. This leads to high computational demands and the output of large-scale simulations can be considered as big data today.
The most important variables in the set of equations are flow velocity and pressure. Other variables denote density, kinematic viscosity and external forces. The equations are typically solved by using High Performance Computing (HPC) systems with Navier-Stockes models. But the strongly varying boundary conditions of those models for liquids remain an open challenge. More recently also deep learning models can be used as described in our article on deep learning in physics. This approach works quite well for liquid dynamics.
Euler Equation Details
The following video offers more details: