It’s good that you’re willing to break the ice and it is really sad that she gives the silent treatment for… seriously weeks?! I thought that could last only days. Have a good, long talk with her and find solutions to your problems. I wish you the best!
By the way, you may not love her and people might say that you shouldn’t have had kids with her or married her. But we have to remember that there are two people in this marriage. Perhaps she too, doesn’t love him. She could have also decided to not marry him or have kids with him. One thing is evident, you really do care about her.