4 Conclusion
    During the search of a subject for this project, I realized that the hydrodynamic instabilities were numerous. Indeed, there are applications in lot of fields. Some of these theories are applied to medecine, behaviours of populations, highway traffic, fluid dynamics, etc.  I have chosen to study a little part of the fractals developped by Benoit Mandelbrot and that was a good way for me to realize that all the theories that seem to be only mathematical, will have one day an physical application.
    Although the main goal of this project was to compute a hydrodynamic instability, the most interesting aspect of it was for me the whole philosophy that some people like Gleick, developped. With this work and all the stuffs that I have read about it, I think to have better understood the famous "Butterfly effect".