I am trying to debug a kernel crash in an openwrt router, but I can't seem to find dmesg/other logs from the previous session after boot. Since it is crashing without any crash dump/stack trace, looking at logs would be the next best thing.
syslog in OpenWrt is backed on a tiny ringbuffer in RAM, if you reboot, it's gone - if it's full, the oldest messages disappear. If you want meaningful debugging, you can setup remote logging to a syslog server in your LAN - or ideally connect a serial console.
There is none and there will never be any. Logging to flash in realtime, with fsync happening all the time, would be a sure way to destroy your flash within short time. Other than in a RPi, you can't just put in a new SDHC card every year, if the flash is worn out, the device is dead for good.