Sam,

There is a fork of the bitcoin blockchain specifically designed with this in 
mind:

https://namecoin.info/


There has been also some academic work on using blockchain for domain name 
concepts. See:

Providing better confidentiality and authentication on the Internet using 
Namecoin and MinimaLT
Frederic Jacobs
http://arxiv.org/abs/1407.6453


Peer-to-Peer Networking and Applications
April 2015 
Difficulty control for blockchain-based consensus systems
Daniel Kraft 
http://link.springer.com/article/10.1007/s12083-015-0347-x


-- 
Professor Andrew A Adams                      [log in to unmask]
Professor at Graduate School of Business Administration,  and
Deputy Director of the Centre for Business Information Ethics
Meiji University, Tokyo, Japan       http://www.a-cubed.info/