Re: How do I do this
Drew, I think that Maxum247 has the right idea. But since I like to do things in the most complicated and expensive way possible, I would probably use strips of Phillipine Mahogany to fill up the corner area. (Mahogany is very rot resistant, and the Phillipine species is lighter in density and easier to bend than Honduran Mahogany. I also built my boat out of Mahogany, marine plywood and fiberglass, so I obviously favor these materials.)
If you took the Mahogany strip approach to fill the gap, it would make a good, rot-resistant cap for the edge of that plywood. You would attach it in the exact same manner that Maxum has suggested.
It looks like you have already dressed the edge of the plywood with a belt sander so you probably have a smooth, evenly curved surface to deal with. I would continue by carefully cutting to size and fitting up each strip of wood. Like Maxum said, I would pre drill them, attached them, and pretty much get them fitted in. I would then pull them off and coat the edge of the existing plywood and back side of the Mahogany with thin epoxy to get maximum penetration. I'd then immediately follow with a liberal amount of thickened epoxy to fill any gap and quickly reattach.
After it hardens you can go back with the belt sander (my favorite tool) and use your artistic skills to blend the corner piece in with the deck (on top) and the hull (on the sides). I'd then go back over with another coat of epoxy on the exposed surfaces of the mahogany just to make sure all is covered. Again, this Mahogany approach might just be expensive overkill.
By the way, are those cabin surfaces canvas covered? I had an old boat back in the 70's like that.