# Riemann problems and solutions¶

The links below might help explain Riemann problems and their solutions.

## Acoustics¶

- The notebook Riemann_problem_acoustics.ipynb illustrates the Riemann solution for the acoustics equations.
- The webpage phase plane illustrates how the Riemann solution changes as the left state \(q_\ell\) and right state \(q_r\) are changed.

## Nonconvex Scalar conservation laws¶

- The notebook Osher_Solution.ipynb illustrates the Osher solution to scalar Riemann problems, with nonconvex examples

## Shallow water equations¶

- The webpage phase plane illustrates how the Riemann solution changes as the left state \(q_\ell\) and right state \(q_r\) are changed.