When using logrotate in Linux, you might encounter a situation where your log file gone when the log rotated. One of the flag that you may need to notice is the copytruncate flag. It did not remove the current log file, instead it copy the log file and then truncate it:
File name: /etc/logrotate.d/your-application
/var/log/your-application/output.log {
copytruncate
rotate 5
daily
compress
delaycompress
notifempty
missingok
}