Motivation: a free boundary problem for two-dimensional Gunn effect.

The Fast Marching method will be used to track the evolution of the free surface of the two-dimensional Gunn effect. By now we present the evolution of the free boundary, assuming a constant speed equal to 1.

- Advancing of a front in a medium with obstacles:

- Reservoir, canal and pipeline filling;
minimal arrival time and shortest paths:

Constant speed

everywhere

Variable speed:

x4 in the half right side

Find the shortest path

and the accessible ones

- Shape and patterns recovery, imaging:

Recovering

Patterns

Imaging

The Fast Marching Method is an idea of J. A. Sethian, from Berkeley.

You may be interested in consulting his impressive web page at

http://math.berkeley.edu/~sethian/level_set.html.