Cereal Monogamist

Question for Science Types and/or Those With Knowledge of Home Improvement

I am currently being driven mad by the front entryway to my house.

Here's the set-up: living room, wooden door, 3-4 feet of entryway, another wooden door, screen door, big bad outdoors world.

Here's the problem: there's this wind tunnel effect being created between the two wooden doors. The one on the outside closes and bolts and everything like it's supposed to, but somehow it traps a bunch of air in the entryway space. The indoors door doesn't latch very well, and as a result, the wind causes it to open in a ghostly manner. It also takes 3 to 10 slams to close in the first place.

It's not a security issue, of course--I do have a properly-locking door--but having the inside door hanging open makes the room kind of chilly, plus Skylar has taken to hanging around in the entryway so she can make sure no one with bad intentions is stepping on our porch. As far as I'm concerned, she can do that from the window.

So, my question is, how do I show this door who's boss? Physicists? Meteorologists? Just the generally handy? Advice, please!