Of course names of the experts will be published! Names, social accounts (if they want), descriptions.
Users can search for an expert using a filter or simply by name.
I think that many qualified specialists will not agree to openly work as experts. Many are already bound by obligations or contracts with their current employers. In parallel, officially cooperating with your platform, they will violate the terms of their contract. Therefore, I think you need to consider a variant with anonymous experts.