MHB Is This Variant of the Navier-Stokes Equation Solvable?

[mrlukey]

What the hell is this and is it solvable?

 

[HOI]

Well, it IS a "partial differential equation". Have you learned how to solve such things? The "[math]\nabla[/math]" on the right is the differential operator [math]\frac{\partial}{\partial x}+ \frac{\partial}{\partial y}+ \frac{\partial}{\partial z}[/math]. I have a little problem with the left side. It is not clear to me whether that "P( )" means that P is a function of the quantity in the parentheses or whether it just means P times that quantity. Also there is a "g" on the right but not on the left. Is there another part of the problem that defines g?

 

[I like Serena]

What the hell is this and is it solvable?

It looks like a variant of the Navier-Stokes equations.
They've written libraries about how to solve them.
I do not think you are supposed to solve them yourself. Likely you're supposed to learn about what it is and what some ways to solve them are.