You should always state in any support posts that you are dual booting windows. It would be a good idea to read the tutorials/wiki regarding dual booting. As always when dual booting Windows, make sure that Windows is always completely shutdown and that fastboot, hibernation, hybrid boot are disabled in Windows.
If you have a hardware problem related to temperature and the computer shuts down because of it, you need to monitor temperature. I am not sure if inxi is accurate but inxi -s will show temperature(s). Check to see if vents are dust clogged, if fans are freely moving and that memory is properly inserted.
Did you look in UEFI/BIOS? Is there a BIOS update for your laptop?
swapfile or swap partition would be a good idea as well.