There are two types of late model Airstreams: The ones that trim strip has fallen off, and the ones it will fall off.
Usually, by the time the strip starts falling off, it looks faded and grey anyway, and you can get replacement strips from your dealer. If the strips still look good, and there are only a couple of places falling off, you can use the 3M super weatherstrip adhesive, in black. The yellow stuff just looks bad if it oozes out from behind the strip. If you use the 3M stuff, be aware it is a type of contact cement. Apply it to both the strip and the rub rail, wait for it to "tack up", then put the two parts together. A couple of pieces of painter's tape across the rub rail/chrome strip until it stays is a good idea.
Meddle not in the affairs of dragons, for you are crunchy, and taste good with ketchup.