I see your Primary DNS of your PS3 is your PC's IP address (192.168.2.13). Your router's IP should be there instead, assuming each device (PC and PS3) is connected to a router port.
For example (only example, use YOUR router's IP)
STATIC IP: 192.168.2.88 (IP is also in a DMZ within my Modem/Router Combo)
Primary DNS: 192.168.0.1Secondary was left blank. According to tech support, it'll "figure itself out" if I leave it blank. <-----Correct, leave it blank
My connection goes:PC
If your setup is like this, then this should hold true. Actually it should hold true regardless of wired vs wifi as well. If each device is controlled by a router, or in your case, a modem/router, then it should hold true that their Primary DNS of attached devices (PC and PS3) is your router's IP value.
As well, look into your router menu and see if it has anything to do with/called "DHCP Reservation" or similar. Much better than configuring static IP's and achieves the exact same results. No need for setting static IP's and entering DNS values. Simply need MAC address and you assign the IP you want the device to have. DHCP does the rest and ensures each device is effectively 'static' . I would go this route instead if possible.
EDIT: Could you give me info on your router....make/model etc.
P.S. Sup my fellow Canuck ?