In reality, you do not always witness them after the passing of any storm in question, since mammatus generally occur on the Anvil of a thunderstorm, meaning it would be dependant on the storms relative direction, as to say, if the anvil would pass over you, before the core, or after it.
Now, mamatus can go on for a while, even after the storm has dramatically weakened, or even died, because the storrms updraft tower, will rise up into the anvil, and the anvil will float on, meaning that even after the storm has died, the mammatus can still hold up the structure for a short period of time. Mammatus really are a sign of a strong updraft, in some cases, and very strong turbulence, thus rendering undulatus formations.
This is of a dead updraft of an LP storm, this year in SD (Redshirt) that I was on, 6/13/06.....the storm is dead, and the base is already beginning to rise up into the anvil but, shortly after this picture was taken, the updraft base had completely vanished into the anvil, yet the mamatus stayed around for maybe an hour later.