Blue? You're lucky mine went black. What I'd give for a lovely shade of blue...
It happens to everybody, no exceptions - ah, unless you don't ride it. The heat from the engine and exhaust cooks the fluid. On mine it occurred on the third ride, approx 250km on the odometer. On that ride I was in traffic, occasionally stopped at lights, so heat built up and, oila!, black rear brake fluid. My normal rides are open rural roads, lots of flowing cooling air but one slow ride turned the rear brake fluid black. At the 1000km service they didn't touch it, not worried.
Anecdotal, so don't take this as definitive, but my experience was that from new the rear brake had no feel and - worse - hardly did anything to slow the bike. Scared the crap out of me pulling up in traffic. Whether it was due to the pads bedding in or changes to the brake fluid I soon noticed much improvement. Today with 1200km on the clock I'm very happy with the rear brake performance and feel, black fluid and all. Unlike many sportbike riders I actually do use the rear brake very frequently. My solution for the black fluid, which is on it's way in the mail, is a small sized reservoir sock to cover it up. Ducati sells them if you want "Ducati". I'm opting for Brembo ones - a biggy for the front brake and two small for clutch and rear brake. Oh, if you're a demon braker the front reservoir will also go black, cooked as the calipers do their thing, and in that case you might feel some mushiness. Depends what type of rider you are.
There is a Canyon Chasers Youtube from 2 years ago that discusses cooked brake fluid on Ducatis and suggests changing to a fluid that has a higher wet boiling point. Problem is it's very expensive (it was US$70 for a pint(?) bottle). Socks are cheaper. I'll post a link if I can find it.
Edit: found it...
In the comments I asked if Dot 5.1 was a good option. The answer was "no". The stuff he is suggesting is much better.