In the high-deformability limit, this equation reduces to the Euler equation.
Deriving this equation in general requires the assumption that normal stresses sum to zero, which is a hypothesis named for one of this equation's namesakes; that hypothesis allows the usual right-hand side of this equation to be written as the divergence of the stress tensor. Including a magnetostatic body force term on the aforementioned right-hand side results in the MHD equations. In the high-deformability limit, this equation reduces to the Euler equation. Using the pi theorem on the usual form of this equation yields the Reynolds number. For 10 points, name this vector equation that governs the motion of continuous Newtonian fluids and that has solvability conditions that are an important open question in physics.
Deriving this equation in general requires the assumption that normal stresses sum to zero, which is a hypothesis named for one of this equation's namesakes; that hypothesis allows the usual right-hand side of this equation to be written as the divergence of the stress tensor.
the {Navier}-{Stokes} equations