I have a few questions regarding the turn on process of a mosfet in switching applications such as SMPS.

From my understanding one common approximation is that for an inductive load the current through the inductor stays constant due to larger time constant associated with the inductor then the switching frequency of the mosfet.

But i still dont understand a few Things. How is it possible that after the miller plateau the drain current stays constant, while the drain source voltage is approximatly zero. I mean if i look at the I/V characteristics of the FET it is in deep triode region where the current should be zero. Propably i miss something, but i just dont get it if i look at the typical Level 1 mos equations.

I get the point that the current stays constant because of the approximation with the inductor, but how do i explain it from the point of few with mosfet characteristics?