What ever is hurled into that lake of fire is going to be burned up totally and completely for ever. The Lord himself tells us some rather interesting things about life and death. In verse 13 and 14, he tells us to basically stay on the straight and narrow path because that is the path that will lead to life, while the broad path with the wide gate, which most people will enter, is the gate that leads to destruction. This is another way of saying the broad path leads to death. The Lord has to be referring to the death of the soul because he isn't concerned about the body.
All bodies die.
So what the Lord is trying to save is not our physical bodies, but rather our spiritual bodies - our souls. It tells us that they will suffer eternal destruction , which therefore will cause them to be eternally separated from the presence and the glory of God. That means that the unsaved soul has only total destruction, and eternal separation from God to look forward to. These will suffer the punishment of eternal destruction, separated from the presence of the Lord and from the glory of his might . From verses like those above, we have to conclude that hell results in the complete death of the wicked.