As my colleague, Salvadore, described, you need to confirm your port configuration.
The most important part of configuring this is making sure the ports are open and forwarded to your server/computer IP address in your router. From the Quick Start Guide:
By default, Wowza Media Server 3.5 uses the following ports for streaming. You must open these ports in your firewall to enable streaming:
TCP 1935: RTMP (all variants), RTSP, Microsoft Smooth Streaming, Apple HTTP Live Streaming (HLS), WOWZ™
UDP 6970-9999: RTP UDP Streaming
TCP 8084-8085: JMX/JConsole monitoring and administration
TCP 8086: HTTP administration
This is a 3rd party (non-Wowza) website that provides instructions on how to configure port forwarding for many different broadband internet routers: http://portforward.com/.
To test and confirm that your configuration is working, from the public internet, open this URL in a web browser:
http://[public-ip-address]:1935 and/or http://[your-domain.com]:1935
If port 1935 is open, Wowza is running, and you are using your correct IP address/domain, then you will see a very simple web page load with text that looks like this: “Wowza Media Server 3 Monthly Edition 188.8.131.52 build7101”
I hope you find this helpful.