It's basically a Java issue, but a particular aspect of Java isn't functioning properly. See
Shutdowns (click on link)
I don't know if that means it's possibly a unix related issue.
I'd suggest uninstalling Java, & reinstalling. It might also be wise to delete your LW prefs whilst LW is closed. For Linux I think they're found here: ~/.limewire (or similar.) But just make a note of all your settings, b/c once you delete these prefs, you'll need to reset all your option settings next time you re-open LW.
If you still have the LW installer, it might also be an idea to reinstall it.
I presume it's not your router stressing out for any reason & losing communication with your computer system. Perhaps the other way around with Java the fault.