# Projected characteristics of conservation laws

- Author:
- LeoArnoldTUM

The so called "characteristics" of a partial differential equations (PDE) are curves in the -plane along which the solution of the PDE is constant. In the special case of a conservation law (demonstrated here) the characteristics are straight lines.

Experiments:

- Increase the time
and see if characteristics cross. Decrease number of characteristics to get a clearer look. - Explain using the definition of the characteristics: What happens to
at the point of intersection? - Enter a new initial profile
: How does the slope of affect the characteristics? - Change the flow function
: Try different convex (e.g. ) and concave (e.g. ) functions and observe the behavior of the characteristics.