Just Remember {A Jelsa FanFic}

Back when Elsa was young, her mother had told her about someone named Jack Frost, and how she was somehow similar to him. To tease Elsa, her mother had left a small question un-answered, only to make the two somehow meet.
"Is Jack Frost real?"
Visiting Elsa, Jack Frost is able to make her believe in him, and they begin to spend time with each other every day. Though sometimes depressed that she doesn't get to spend time with Anna, Jack Frost is able to cheer her up. But one day, her parents go across the sea, only to be swallowed by the ocean itself. With this, Elsa has been swamped with the remaining castles' work and the planning of her up-coming coronation. She slowly forgets Jack, her memories of him dissappearing. Determined to make her remember again, he does whatever it takes.
Will she regain her memories, or will Jack have to watch over her with his existence completely erased from her memory?