NEW : Friends identify the pilot as a well known cosmetic surgeon in the area . The plane has sunk , no pilot found , the Coast Guard says . Comment: Interceptor pilots reported the plane 's windows were fogged over .
NEW : Friends identify the pilot as a well known cosmetic surgeon in the area . The plane has sunk , no pilot found , the Coast Guard says . The Air Force noticed the plane flying erratically Thursday morning . Interceptor pilots reported the plane 's windows were fogged over .