Shaper of Flames increased phys dmg over time build

hi ,
i try to make a melee elementalist witch and i need some informations i can't find anywhere else.

with Shaper of Flames i can use phys dmg and phys modifiers to inflict and boost ignite right?

but i don't know if increased phys dmg over time is taken into account in the dmg calculations of the ignite like a dmg over time multiplicater would.

i'll post it when finished and tested, that could be very fun to play.
thanks or your help.