Is there a name for this?
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Yes, it's called "chess".
Knight and pawn endgame.
If you can remove the black knight from defense of the pawn queening with a knight sac like Nd6 (about the only common tactic knight endgames have) then that's called a tactic.
If there's a straightforward forced win it might be called a puzzle.
If there's a subtle and difficult win, involving many moves and variations then it could be called a study.
It's a mix of puzzle and study. White wins in a long and forced way.
MartinJaeggi wrote:
It's a mix of puzzle and study. White wins in a long and forced way.
Not so long? d4 and it's over (almost)
1. d4 Ke4 2. d5 Kxd5 3. Ne7+ Kd6 4. Nxc8 Kc7 5. a7 Kb7 6. Kg2 b5 7. Kf2 b4 8. Ke2 b3 9. Kd2 b2 10. Kc2 b1Q+ 11. Kxc1 ... This is not the end, but just to this point all must be calculeted. I think it's long.
MartinJaeggi wrote:
1. d4 Ke4 2. ......
2. Ne6 wins immediately
Jan 12, 2013
0
#9
It's "2. Nd6+" technically, but the deflection of the Knight by check allows the Queening of the a-pawn.
So it's not a stuzzle, after all. 
Ah, I see you caught my "deliberate error"
That's my story, and I'm sticking to it.
Nope, might have a few spudy's, though....
Bad news for black?
nd6.....black must nxn or white plays nxn , the black nxn allows pa7 and n. cannot get back to stop pa8=Q
For beginners, it's called a "draw." For masters it's called a "win for white" (at least that's what I think).
Nd6. It's either deflection or a decoy, or both, not sure
Yeah it's like a simpler version of this from tactics trainer:
eddysallin - But what happens after Nd6 Na7? It seems like white can't continue to pursue the black knight. It seems like a long and arduous effort for white at best.