URGENT

My Uncle passed away few days back.
He was running a Sole Proprietorship Business.
So, now after his demise, we want to continue the business under my aunt's name

I want to know:

1. How can we transfer the business under my aunt's name, so that the NAME of the FIRM doesn't change.?

2. Since, GSTIN is a PAN based
number if we transfer the business under my aunt's name as a resultant our GSTIN will also change?

Seeking for your response. Since it is quite urgent

Thanks and regards
Mayank Oberoi