In general, precompiled Mesa libraries are not available.
Some Linux distributions closely follow the latest Mesa releases. On others one has to use unofficial channels.
There are some general directions:
Debian/Ubuntu based distros - PPA: xorg-edgers, oibaf and padoka
Fedora - Corp: erp and che
OpenSuse/SLES - OBS: X11:XOrg and pontostroy:X11
Gentoo/Archlinux - officially provided/supported