Thanks for the answer, the the problem seems real. If you ask me a specific test to do, then I can do it.
Tell me what more do you need to know about my MacMini.
For the Adsl Switch, I use a French "NeufBox V4" Actually it is connected at 7488 Kbps. The Mac Mini is directly connected to it.
You'll admit that it's impossible to watch a youtube video with 30kb/s of bandwith. Youtube is not faulty because I tested others websites. but I can test the one you give me if you want or do some other test.