Dealing with arguments in a long term relationship

Me and my boyfriend rarely argue but when we have had arguments they seem to go on for a couple days of hardly speaking on text and us both being stubborn to sort it out. My boyfriend is VERY stubborn so I know that it is just him and he likes to retrieve in his man cave and have his space, which I completely understand! But I do struggle mentally when it’s hours of waiting for a message and it does really eat me up.

Anyway I guess my questions are, what is the best way to deal with these long silences? Is it best to stand your ground and wait for him to come to me or is approaching him to chat the right thing to do? Is it right for him to “treat” me like this? I say “treat” because I know he isn’t doing it intentionally, it’s probably that he just doesn’t feel like speaking.

I guess it feels as though it will always be on his terms whether he is ready to talk to me or not because of how stubborn he is. I know a lot of the issue is just how women and men are wired mentally and this is where I overthink and worry but feel as though he isn’t so bothered about it, so it would be great to hear other opinions!