local zsh history on up-arrow, global zsh-history on ctrl-R

I am looking for a very specific behavior in my [Zsh](https://en.wikipedia.org/wiki/Z_shell) terminals. I have multiple terminal windows open at the same time. On each terminal window, if I hit the up arrow, I'd like for it to go up through the **local** history of that specific terminal window. On each terminal window, if I type Ctrl-R and then start typing to search through history, I would like it to search through the **global** history that comes from all the terminal windows combined. Is it possible? How can I do it?