# Computational Mechanics/Fluids/Stokes

## Stokes fluid

edit### Strong form

editIn the strong form, the momentum and mass balance for an incompressible fluid reduce to:

```
```

In other words, this fluid can be described without taking inertia into account in the momentum balance ( ).

### Weak Form

editTo obtain the weak form, we simply multiply the residuals of (1) and (2) with an appropriate test function and integrate over the whole domain:

```
```

Expanding the terms