Our physical bodies are subject to decay and death, yet in the life to come, everyone is resurrected; raised imperishable (indestructible), never to decay but alive forever (1 Cor 15:42-54). The saved will have eternal life with God and Jesus, meanwhile the unsaved are doomed to eternal damnation in the lake of fire (1 Pet 1:3-5; Rev 20:10-15, 21:8). 

See also: end times, eternal/eternity, immortality, resurrection.