The Brooks Adrenaline GTS 12 was recommended, along with several other shoes, by a variety of sources for runners with flat feet and overpronation.  I selected the Adrenaline as a long-time user of Brooks' products, going back to the Vantage in 1978, before flat feet and overpronation were problems for me.  The GTS 12 lives up to its reputation as a comfortable shoe with excellent support and control.  I've noticed an increase in time and distance since starting to use the GTS 12's, but more importantly the leg and foot pain have dissipated considerably.