Hi Chan,
Yeah, that's not a lot of information other than showing it's going down right after it comes up. I would recommend checking that you have sufficient drive space and temp space.
If they're crashing, you should also have core files. Those can eat up a lot of space, so I'd recommend just keeping the most recent and then doing a core analysis on them to see if it'll give you more information on what's causing the crash.
Also take a look at your Linux server's system logs and see if there are any errors there.
If you login to the CMC, you can enable tracing there for your WebI and Connection Server.
I hope that helps!
Carly