Voices of a Distant Star(2002)

Hoshi no Koe

It is 2046 when a mysterious alien force begins their annihilation of the human race. Leaving behind the one person she loves, Mikako joins the interstellar battle as a pilot. And so - while Mikako risks her life to save mankind - Noboru waits. At first days, then months, then years for each new message that will let him know whether Mikako is still alive. And, while she barely grows older in the timelessness of space, Noboru ages. The two lovers, worlds apart, desperately strive to remain connected as the gap between them widens at a frightening pace.

(Source: Crunchyroll)