Brandon Peterson is a comics veteran. He's been working on and off for Marvel since the early 90s, but has also worked for Top Cow and Crossgen (when that was still a thing). For DC, he's worked on 23 issues of the Green Lanterns book starring Jessica Cruz & Simon Baz.
Jeremy Adams appears to be new to comics, though. He wrote the final issue of the recently concluded SHAZAM! book. He's previously worked for animation, where he got some experience with the Flash in an episode of Justice League Action and the direct-to-video film LEGO DC Comics Superheroes: The Flash.
And as a Wally fan, I sure hope they finally get it right.