There will be a new PoW chain and a new PoS chain. The old chain will technically exist but mining on it will be impractical. There is no longer enough interest from miners to make the new PoW chain the majority, so the winners of this hard fork will be recognized as "Ethereum" and the other miners will be relegated to a less influential chain.
https://news.ycombinator.com/item?id=26441399