Yes, there is a specific name for home kitchen or bathroom cabinets that close on their own. They are commonly referred to as "soft-close cabinets" or "self-closing cabinets."
Soft-close cabinets are designed with special hinges or mechanisms that allow the cabinet doors to close slowly and gently when they are pushed shut. This prevents them from slamming shut, reducing noise and wear on the cabinet hardware over time. The soft-close feature is particularly useful in households with children or in shared living spaces, as it adds an extra layer of safety and convenience.