This conceptual model "Front Decay" describes a mesoscale dissipation of clouds within a Cold Front.
There are already CM's which deal with the dissipation of frontal clouds like
Cold Front In Cold Advection
Cold Front In Warm Advection
. Those CM's describe a possible dissipation of the whole frontal cloud band.
Front decay can also be caused by other processes such as deformation (elongation) of the frontal cloud band. Often "Front Decay" happens during the development of the CM of