Is there a special name for the following type of PDE? $$u_{t} = -u_{xxx}, \:\:\: u(x, 0) = f(x), \:\:\: t > 0$$
I found a paper mentioned that it is "linear Airy equation", but I have not found other or more than one references to substantiate that. The wikipedia mentioned differently of Airy equation: https://encyclopediaofmath.org/wiki/Airy_equation#:~:text=The%20Airy%20equation%20is%20the,research%20in%20optics%20%5BAi%5D.