Hello Goja,
Flash is still being supported in browsers until the year 2020 that is when the flash player plugin extension which is used on many browsers will be discontinued. There are several people who are developing javascript / HTML5 based players which will emulate flash so it'll appear seamless to visitors so that flash based content can still be included and shown to an extent of being able to run a flash game developed pre-2000s for both historical and entertainment purposes, newgrounds is the first to announce they are investing the time to develop a solution to this problem.
Further Information & More Detailed Read:
https://www.newgrounds.com/bbs/topic/1424896
On Mobile flash has been fazed out for a lot of years now with over 99.5% of games on mobile being developed as an app as to a flash based game on an app or embedded within a browser. When people play games on a mobile or tablet they'll play the games through various apps. (So pretty much each app is in itself it's own game on it's own website as a sum up)
I'd say that if any flash games do get published now that they should only be considered if it has a big following otherwise just generally accept HTML5, Unity and other game engines which work on browsers as I doubt there will be 1 standard format for all games like how flash had the .swf which made all games be published on flash with flash player rather than on shockwave .dcr, I feel as though adobe will make people use "Adobe Air" sort of structure as it doesn't require any installations of plugins in order to run flash or HTML5 within browsers and isn't being fazed out until it's counterpart adobe flash player.
So from whatever prospective you look at it, I still see flash as just being there on the internet for many more years to come.
Regards,
Antz