How to deal with the Coriolis force?

Hello everyone!
I'm trying to compute the time dependent response of a accelarator under a rotation accelaration which is a gauss pulse. And the inertial forces (Coriolis force, centrifugal force and convected inertial force )were treated as the body forces . However, due to the angular velocity which is in Corilis force term is time dependent, the calculation equation is lead to nonlinear equation, and I am not clear about how to deal with it in the comsol software. Can anyone help me ?