duet String Duo WIP

This is a piece I started composing last night after listening to String Duo for Violin and Cello in D major by Haydn. I felt like composing a piece in B minor for some reason, don't know why, maybe because I haven't really used B minor all that much in 3 years of composing. But as I started listening to it, it sounded more to me like a slow second movement than an isolated work. But what piece would have a slow movement in a minor key outside of the exceptions like Moonlight Sonata where the slow movement is the first movement and suites where the key relations aren't necessarily close?

What I'm composing seems to be more like the slow movement of a sonata than a suite. I mean for one thing, piano sonata slow movements do tend to have this 2 melodies thing(bass clef melody as well as treble clef melody) that is certainly in my piece. And from all my experience listening to both solo and duet sonatas, not once have I heard a minor key second movement, although such a sonata probably exists.

Anyway, what do you think of it so far? Starting at measure 12, I have a cello solo, as you can probably tell by me going into tenor clef for more than just a few bars and how high up in tenor clef it gets. I don't think the violin will just wait until the solo is finished, but I do want to give at least 1 measure to just the cello before I bring the violin back in in its low register and in more of the melodic bass role the cello had before the solo. I might change the "in B minor" part of the title if I do decide to go full on sonata with this piece. I might even change "String Duo" to "Duo Sonata for Violin and Cello" if I do that.

Whatever you call this, it will sound the same. Just a fragment doesn't project in anything. You can give it the structure you want.

for string duos, my favourites are by Mozart:

https://www.youtube.com/watch?v=Gzemq3bpz54

https://www.youtube.com/watch?v=f8Ay_K_CKTU