Does anybody know who first derived this equation?

[9smartcats]

Does anybody know who first derived this equation?
(attached)
It is differential equation for oscillations of velocity U(z,t) of a vertically stratified atmosphere with random temperature profile without Coriolis force . I derived it in my work but could not find it anywhere in literature. I hope that someone might know some source (book or article) as a reference.
Please help me.


Daniel

 

[TheDestroyer]

I guess you may find something like this in plasma literature.

Good luck :)

 

[sir-pinski]

Unfortunately, I am not familiar with this specific equation and its origins. It is possible that it has been derived by multiple researchers independently, or it may have been derived by someone who has not published their work. I suggest reaching out to experts in the field of atmospheric dynamics and asking for their insights or possible references. You can also try searching for similar equations or models in the literature and see if any of them cite this equation or have similar derivations. Good luck in your search!