On your process log, how much is it logging? More than transaction events? If so, check to make sure the thread Engine Log Configuration (full control of thread) does not have “enable_all” toggled (use “disable_all”) and cycle the process to see if you get significantly less data in the process log.
if you are getting CORE files, that would indicate you have a memory leak associated with this process that will eventually crash your process. Check your error log to ensure there are no glaring issues, correct them, and restart the site process and remove the coreddump file. Check the error database to ensure message health is in order and no routing/xlates need correcting.
If need be, stop all inbound threads to exhaust the recovery database and perform a siteinit to eliminate runaway processes on this site that would be causing a coredump