I'm not familiar with Asian girls, but I'm assuming that their mind set is 'the same' like other girls.
The best way would be to talk to her (assuming that you already have Asian GF). Talk about 'other' people that are in relationship, e.g. your friends and see how she reacts, what are her expectations. Describe some problem and see how she reacts, she will for example say "The guy should be doing this or that to keep his GF" and so on. By talking about other people's relationships with her you will find out easily what she expects.
Basically, she is looking for a man, for a guy who will help her with family, raise her child, protect her... Somebody who is stable emotionally and financially. Somebody who can be her lover and her friend. Somebody who's got a great vision for life: Great and functional family.
So, having that in mind, what you should do in General:
If she is looking for long term relationship you need lots of patience. Most likely she will test you and see how you react. For example, she may stop communicate with you for some time, say 2 days. But it could be weeks, it all depends. If you are emotionally unstable you will flip, get all anxious, start bombarding her with calls and texts. Well, you've lost lots of points. On the other hand, if you think long term, if you remain calm, just sent a brief message or two: "hey, what's going on, give me a call when you get a chance" and then let go. You won. She will run after you the day after and you will notice that she is very happy. You, of course, act as if nothing happened. And if you are a man, nothing really happened, you didn't even notice...
She may suggest break up (and again, she will observe your reactions). Do you flip, start throwing stuff around? Get angry and upset? Crying, calling your mother, asking for explanation, begging her not to do it? Well, you've lost many many many points. You lost your soul. But if you remain calm, just give her warm look while attempting to read her face with little bit surprised look (and not saying much), remain somehow emotionally calm/stable, if you try to understand what is going on in her mind but not necessary want to know every details, if you show that you respect her decision, and at the same time you might be just little bit hurt (after all, you love her, no?) - you won big. Again, if you are a man nothing really happened, you are just surprised why would she break up with a great guy like you...
She may try to get you jealous, talk, perhaps even flirt with other guys in front of you. Now, it depends on your personality, but again, you want to remain calm and you don't want to react too much. If you can, ignore that guy and if she asks you what you think about him, just give her another surprised look: "What the fuck are you talking about? What guy? I haven't seen any guy (that could compete with me). Sure, go ahead and talk to him as much as you want"... But, at the same time, you have to make sure that it is not ok for her to be with other guys in romantic/sexual ways. She can talk to other guys freely with no problem (without you being jealous and anxious), she can have male friends - but she also needs to know that you will leave her if she starts "something" with other guy. And you need to be ready to leave her if it really happens.
There are many scenarios and possibilities, those are perhaps the worse she could do (but most likely won't). Basically, she may try to throw your emotions out of balance, and you should always remain calm, not so much reacting. No drama, never. You should always be strong and leading, you should make important decisions. That is what she expects from man, and that is the only way she can respect you. You should make some clear rules and stick to them. For example, you are going to fitness every Mo/We/Fr, so you need to keep the same schedule. It doesn't seem so but that's actually quite important because that is very strong language you are talking: You have rules and she can't bend them no matter what, no matter how sweet she is about it. There is no negotiation, and she needs to adjust herself to your rules. She needs to know that she either accepts your rules - or is free to walk away...
If you have to, tell her NO once in a while. She will not like it, she will get pissed and all emotional (playing hurt), but that is how you lead. NO is NO and there is no negotiation about it, it's very important that you don't cave in because you will lose your spine. She expect yo to have strong spine, she can't respect you if you don't have a spine, and if she can't respect you she won't love you. Don't worry, she will turn around and she'll be happy again next day.
You don't want to bore her. It is easy the first year or two because emotions are high. But then the boredom kicks in. You want to generate the emotions. Piss her off occasionally. Then make romantic love, buy candles and flowers. Take her for a nice trip, get her all excited. Next week you will be totally cold, non-reactive, closed in your cave. Tell her that it bothers you when she does XYZ. Then you tell her you love when she does ABC. Have a great conversation with her and her mother because she's the best mother in law that you know - don't worry, next week she will be the bitch eating your life away, it's ok because all mothers in law are bitches. Next month you will be planning the best birthday your mother in law ever experienced (e.g. You really have no fucking clue what she likes, thus your wife can be in charge of it, she can cook and clean to impress her, she can do all the decorations, and if she behaves well she can even participate in choosing a gift). Tell her one day "Fuck no, I'm never gonna agree this crap". Next day you tell her "Sorry sweety, lets do something amazing, lets do XYZ". And so on, you got the idea, rock her emotions and you will rock her world...