When loading certain .swf files into a WebView, a split second after the flash file begins to be displayed, my app closes with a Signal 11
I think you need to handle the kill even in onPause()
On the link below you would see a table of all the methods in activity that you can override. It has one column called killable. Which indicates can this methods be killed. As onDestroy() is a killable methods there is a chance that it may not be called. But onPause() is not killable so u can handle you logic of saving state or anything else here. Activity
An alternative solution could be to use a background task or service to monitor the memory usage on the device, if the system tells you that you're on low memory, kill the flash activity.
To know if you are on low memory you can use this code:
ActivityManager activityManager = (ActivityManager) context.getSystemService(ACTIVITY_SERVICE);
MemoryInfo memoryInfo = new ActivityManager.MemoryInfo();
activityManager.getMemoryInfo(memoryInfo);
boolean onLowMemory = memoryInfo.lowMemory;
Or you can check the available memory using memoryInfo.availMem, if it's too low (close to memoryInfo.threshold) kill your activity before the exception.