She will stay with him, for the same reasons she married him.
Economics. She could not support herself before, now there are kids.
She was attracted to his confidence, with is now controlling.
In her he saw a person that was drawn to his dominant persona.
A future victim he can manipulate. He knew she would not leave.

She can't afford to lose the social position or the monetary reward.
If he has adequately isolated her emotionally and mentally,
she will feel lost and helpless without him.
He can hand her divorce papers and a blank check. She will not leave.

She will hide the problem from friends and co-workers.
To maintain a solid strong front, for her pride.
Confiding in family, who will remind her the children need a dad.
And feed her the rest of the good wife and hard times story.

He will stay as long as she provides domestic services and sex.
He is only angry because she exposed their problem to the public.
As long as he can keep the problem "in house" he will stay with her.

It's important his family and co-workers believe all is well.
He does not want their sympathy. That's a sign of weakness.
His friends will hear the inside story, but support him regardless.
They agree it's her fault, and he's a hero for putting up with her.
He will stay with her because good help is hard to find.

Only when he finds someone that can fill her role,
will he think of leaving. And because men are visual animals,
the new wife will have to possess the qualities of the first wife.
Yet be half her age and physically more appealing.
Until that happens he will stay in the marriage, for convenience.